Peletier, L. A. (Lambertus A.)
Overview
Works:  129 works in 218 publications in 4 languages and 1,036 library holdings 

Genres:  Conference papers and proceedings History Biography 
Roles:  Author, Editor 
Classifications:  QA377, 515.353 
Publication Timeline
.
Most widely held works by
L. A Peletier
Spatial patterns : higher order models in physics and mechanics by
L. A Peletier(
Book
)
14 editions published between 2001 and 2013 in English and held by 220 WorldCat member libraries worldwide
14 editions published between 2001 and 2013 in English and held by 220 WorldCat member libraries worldwide
Nonlinear diffusion equations and their equilibrium states : proceedings of a microprogram held August 25September 12, 1986 by
W.M Ni(
Book
)
8 editions published in 1988 in English and held by 188 WorldCat member libraries worldwide
8 editions published in 1988 in English and held by 188 WorldCat member libraries worldwide
Degenerate diffusions by
W.M Ni(
Book
)
10 editions published between 1992 and 1993 in English and held by 164 WorldCat member libraries worldwide
This volume is the proceedings of the IMA workshop "Degenerate Diffusions" held at the University of Minnesota from May 13May 18, 1991. The workshop consisted of two parts. The emphasis of the first four days was on current progress or new problems in nonlinear diffusions involving free boundaries or sharp interfaces. Analysts and geometers will find some of the mathematical models described in this volume interesting; and the papers of more pure mathematical nature included here should provide applied mathematicians with powerful methods and useful techniques in handling singular perturbation problems as well as free boundary problems. The last two days of the workshop were a celebration of James Serrin's 65th birthday. A wide range of topics was covered in this part of the workshop. As a consequence, the scope of this book is much broader than what the title Degenerate Diffusions might suggest
10 editions published between 1992 and 1993 in English and held by 164 WorldCat member libraries worldwide
This volume is the proceedings of the IMA workshop "Degenerate Diffusions" held at the University of Minnesota from May 13May 18, 1991. The workshop consisted of two parts. The emphasis of the first four days was on current progress or new problems in nonlinear diffusions involving free boundaries or sharp interfaces. Analysts and geometers will find some of the mathematical models described in this volume interesting; and the papers of more pure mathematical nature included here should provide applied mathematicians with powerful methods and useful techniques in handling singular perturbation problems as well as free boundary problems. The last two days of the workshop were a celebration of James Serrin's 65th birthday. A wide range of topics was covered in this part of the workshop. As a consequence, the scope of this book is much broader than what the title Degenerate Diffusions might suggest
On a class of wave equations by
L. A Peletier(
Book
)
7 editions published in 1967 in English and Dutch and held by 22 WorldCat member libraries worldwide
7 editions published in 1967 in English and Dutch and held by 22 WorldCat member libraries worldwide
Nonlinear diffusion equations and their equilibrium states II : proceedings of a microprogram held August 25  September 12,
1986 by
W.M Ni(
Book
)
6 editions published in 1988 in English and held by 17 WorldCat member libraries worldwide
In recent years considerable interest has been focused on nonlinear diffu sion problems, the archetypical equation for these being Ut = ~U + f(u). Here ~ denotes the ndimensional Laplacian, the solution u = u(x, t) is defined over some spacetime domain of the form n x [O, T], and f(u) is a given real function whose form is determined by various physical and mathematical applications. These applications have become more varied and widespread as problem after problem has been shown to lead to an equation of this type or to its timeindependent counterpart, the elliptic equation of equilibrium ~u+f(u)=O. Particular cases arise, for example, in population genetics, the physics of nu clear stability, phase transitions between liquids and gases, flows in porous media, the LendEmden equation of astrophysics, various simplified com bustion models, and in determining metrics which realize given scalar or Gaussian curvatures. In the latter direction, for example, the problem of finding conformal metrics with prescribed curvature leads to a ground state problem involving critical exponents. Thus not only analysts, but geome ters as well, can find common ground in the present work. The corresponding mathematical problem is to determine how the struc ture of the nonlinear function f(u) influences the behavior of the solution
6 editions published in 1988 in English and held by 17 WorldCat member libraries worldwide
In recent years considerable interest has been focused on nonlinear diffu sion problems, the archetypical equation for these being Ut = ~U + f(u). Here ~ denotes the ndimensional Laplacian, the solution u = u(x, t) is defined over some spacetime domain of the form n x [O, T], and f(u) is a given real function whose form is determined by various physical and mathematical applications. These applications have become more varied and widespread as problem after problem has been shown to lead to an equation of this type or to its timeindependent counterpart, the elliptic equation of equilibrium ~u+f(u)=O. Particular cases arise, for example, in population genetics, the physics of nu clear stability, phase transitions between liquids and gases, flows in porous media, the LendEmden equation of astrophysics, various simplified com bustion models, and in determining metrics which realize given scalar or Gaussian curvatures. In the latter direction, for example, the problem of finding conformal metrics with prescribed curvature leads to a ground state problem involving critical exponents. Thus not only analysts, but geome ters as well, can find common ground in the present work. The corresponding mathematical problem is to determine how the struc ture of the nonlinear function f(u) influences the behavior of the solution
Proceedings of a microprogram held August 25  September 12, 1986 : W.M. Ni ; L.A. Peletier ; J. Serrin, eds(
Book
)
2 editions published in 1988 in English and held by 15 WorldCat member libraries worldwide
2 editions published in 1988 in English and held by 15 WorldCat member libraries worldwide
Nonlinear diffusion equations and their equilibrium states I : proceedings of a microprogram held August 25  September 12,
1986 by
W.M Ni(
Book
)
5 editions published in 1988 in English and Italian and held by 14 WorldCat member libraries worldwide
In recent years considerable interest has been focused on nonlinear diffu sion problems, the archetypical equation for these being Ut = D.u + f(u). Here D. denotes the ndimensional Laplacian, the solution u = u(x, t) is defined over some spacetime domain of the form n x [O,T], and f(u) is a given real function whose form is determined by various physical and mathematical applications. These applications have become more varied and widespread as problem after problem has been shown to lead to an equation of this type or to its timeindependent counterpart, the elliptic equation of equilibrium D.u + f(u) = o. Particular cases arise, for example, in population genetics, the physics of nu clear stability, phase transitions between liquids and gases, flows in porous media, the LendEmden equation of astrophysics, various simplified com bustion models, and in determining metrics which realize given scalar or Gaussian curvatures. In the latter direction, for example, the problem of finding conformal metrics with prescribed curvature leads to a ground state problem involving critical exponents. Thus not only analysts, but geome ters as well, can find common ground in the present work. The corresponding mathematical problem is to determine how the struc ture of the nonlinear function f(u) influences the behavior of the solution
5 editions published in 1988 in English and Italian and held by 14 WorldCat member libraries worldwide
In recent years considerable interest has been focused on nonlinear diffu sion problems, the archetypical equation for these being Ut = D.u + f(u). Here D. denotes the ndimensional Laplacian, the solution u = u(x, t) is defined over some spacetime domain of the form n x [O,T], and f(u) is a given real function whose form is determined by various physical and mathematical applications. These applications have become more varied and widespread as problem after problem has been shown to lead to an equation of this type or to its timeindependent counterpart, the elliptic equation of equilibrium D.u + f(u) = o. Particular cases arise, for example, in population genetics, the physics of nu clear stability, phase transitions between liquids and gases, flows in porous media, the LendEmden equation of astrophysics, various simplified com bustion models, and in determining metrics which realize given scalar or Gaussian curvatures. In the latter direction, for example, the problem of finding conformal metrics with prescribed curvature leads to a ground state problem involving critical exponents. Thus not only analysts, but geome ters as well, can find common ground in the present work. The corresponding mathematical problem is to determine how the struc ture of the nonlinear function f(u) influences the behavior of the solution
De Republiek der Wetenschappen : een persoonlijke ervaring by
L. A Peletier(
Book
)
1 edition published in 2002 in Dutch and held by 10 WorldCat member libraries worldwide
1 edition published in 2002 in Dutch and held by 10 WorldCat member libraries worldwide
Universal algebraic convergence in time of pulled fronts: the common mechanism for differencedifferential and partial differential
equations by
U.M Ebert(
Book
)
5 editions published in 2000 in English and held by 10 WorldCat member libraries worldwide
5 editions published in 2000 in English and held by 10 WorldCat member libraries worldwide
A singular boundary value problem arising in a prebreakdown gas discharge by
O Diekmann(
Book
)
8 editions published between 1978 and 1979 in English and Undetermined and held by 8 WorldCat member libraries worldwide
8 editions published between 1978 and 1979 in English and Undetermined and held by 8 WorldCat member libraries worldwide
Brine transport in porous media selfsimilar solutions by
C. J. van Duijn(
Book
)
3 editions published in 1996 in English and held by 8 WorldCat member libraries worldwide
3 editions published in 1996 in English and held by 8 WorldCat member libraries worldwide
Nonstationary filtration in partially saturated porous media by
C. J. van Duyn(
Book
)
4 editions published in 1979 in English and held by 7 WorldCat member libraries worldwide
4 editions published in 1979 in English and held by 7 WorldCat member libraries worldwide
Clines induced by variable selection and migration by
Paul C Fife(
Book
)
4 editions published in 1980 in English and held by 6 WorldCat member libraries worldwide
The problem studied is in the area of differential equations; it models the spatial distribution of the genetic composition of a population in a heterogeneous environment, account being taken of migration and natural selection effects. More generally, it models a distribution in the composition of an ecological community. A number of conditions are given which guarantee the existence or nonexistence of a stable nonuniform equilibrium distribution, which is known as a cline. Of special interest is the case when two stable homogeneous distributions are possible; there may or may not also exist a heterogeneous one. (Author)
4 editions published in 1980 in English and held by 6 WorldCat member libraries worldwide
The problem studied is in the area of differential equations; it models the spatial distribution of the genetic composition of a population in a heterogeneous environment, account being taken of migration and natural selection effects. More generally, it models a distribution in the composition of an ecological community. A number of conditions are given which guarantee the existence or nonexistence of a stable nonuniform equilibrium distribution, which is known as a cline. Of special interest is the case when two stable homogeneous distributions are possible; there may or may not also exist a heterogeneous one. (Author)
Observations on blow up and dead cores for nonlinear parabolic equations by
Bernhard Kawohl(
Book
)
2 editions published in 1988 in German and English and held by 5 WorldCat member libraries worldwide
2 editions published in 1988 in German and English and held by 5 WorldCat member libraries worldwide
Clines in the presence of asymmetric migration by
J. P Pauwelussen(
Book
)
4 editions published in 1980 in English and held by 5 WorldCat member libraries worldwide
4 editions published in 1980 in English and held by 5 WorldCat member libraries worldwide
Thomas Joannes Stieltjes Jr., 18561894 : eredoctor van de Leidse Universiteit by
Gerrit van Dijk(
Book
)
2 editions published in 1989 in Dutch and held by 5 WorldCat member libraries worldwide
2 editions published in 1989 in Dutch and held by 5 WorldCat member libraries worldwide
Nonlinear diffusion equations and their equilibrium states, 3 : proceedings from a conference held August 2029, 1989, in
Gregynog, Wales by
H Brézis(
Book
)
2 editions published in 1992 in English and held by 4 WorldCat member libraries worldwide
Nonlinear diffusion equations have held a prominent place in the theory of partial differential equations, both for the challenging and deep math ematical questions posed by such equations and the important role they play in many areas of science and technology. Examples of current inter est are biological and chemical pattern formation, semiconductor design, environmental problems such as solute transport in groundwater flow, phase transitions and combustion theory. Central to the theory is the equation Ut = ~cp(U) + f(u). Here ~ denotes the ndimensional Laplacian, cp and f are given functions and the solution is defined on some domain n x [0, T] in spacetime. FUn damental questions concern the existence, uniqueness and regularity of so lutions, the existence of interfaces or free boundaries, the question as to whether or not the solution can be continued for all time, the asymptotic behavior, both in time and space, and the development of singularities, for instance when the solution ceases to exist after finite time, either through extinction or through blow up
2 editions published in 1992 in English and held by 4 WorldCat member libraries worldwide
Nonlinear diffusion equations have held a prominent place in the theory of partial differential equations, both for the challenging and deep math ematical questions posed by such equations and the important role they play in many areas of science and technology. Examples of current inter est are biological and chemical pattern formation, semiconductor design, environmental problems such as solute transport in groundwater flow, phase transitions and combustion theory. Central to the theory is the equation Ut = ~cp(U) + f(u). Here ~ denotes the ndimensional Laplacian, cp and f are given functions and the solution is defined on some domain n x [0, T] in spacetime. FUn damental questions concern the existence, uniqueness and regularity of so lutions, the existence of interfaces or free boundaries, the question as to whether or not the solution can be continued for all time, the asymptotic behavior, both in time and space, and the development of singularities, for instance when the solution ceases to exist after finite time, either through extinction or through blow up
Homoclinic bifurcations at the onset of pulse selfreplication by
A Doelman(
Book
)
2 editions published in 2006 in English and held by 4 WorldCat member libraries worldwide
2 editions published in 2006 in English and held by 4 WorldCat member libraries worldwide
Stabilization of Solutions of a Degenerate Nonlinear Diffusion Problem by D Aronson(
Book
)
3 editions published between 1981 and 1982 in English and held by 4 WorldCat member libraries worldwide
3 editions published between 1981 and 1982 in English and held by 4 WorldCat member libraries worldwide
Selfsimilar solutions for infiltration of dopant into semiconductors by
L. A Peletier(
Book
)
3 editions published in 1991 in English and held by 3 WorldCat member libraries worldwide
3 editions published in 1991 in English and held by 3 WorldCat member libraries worldwide
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Bifurcation theory Boundary value problems Continued fractions Convergence Differentiable dynamical systems Differentialdifference equations Differential equations Differential equations, Nonlinear Differential equations, Parabolic Differential equations, Partial Differential equations, PartialNumerical solutions Differential equationsAsymptotic theory Differential equationsNumerical solutions Diffusion DiffusionMathematical models Global analysis (Mathematics) Groundwater flowMathematical models Manifolds (Mathematics) Mathematicians Mathematics Moment problems (Mathematics) Netherlands Onedimensional flowMathematical models Perturbation (Mathematics) Porous materials Reactiondiffusion equations Stieltjes, Thomas Jan, Wave equation Wave mechanics