Evans, L. C.
Overview
Works:  15 works in 38 publications in 1 language and 39 library holdings 

Genres:  Sermons 
Roles:  Author 
Classifications:  UA649, 
Publication Timeline
.
Most widely held works by
L. C Evans
On the relation of the operator [delta]/[delta]s + [delta]/[delta]t to evolution governed by accretive operators by
Michael G Crandall(
Book
)
6 editions published in 1975 in English and Undetermined and held by 6 WorldCat member libraries worldwide
Existence theorems for the equation du/dt + Au = f(t), where A is an accretive operator in a general Banach space X, are typically proved by showing that limits of solutions of discrete approximations to the equation exist. Here the estimates required to show this convergence are exhibited as special cases of estimates relating solutions of difference schemes for partial derivative with respect to s + partial derivative with respect to tau to exact solutions
6 editions published in 1975 in English and Undetermined and held by 6 WorldCat member libraries worldwide
Existence theorems for the equation du/dt + Au = f(t), where A is an accretive operator in a general Banach space X, are typically proved by showing that limits of solutions of discrete approximations to the equation exist. Here the estimates required to show this convergence are exhibited as special cases of estimates relating solutions of difference schemes for partial derivative with respect to s + partial derivative with respect to tau to exact solutions
MiniWorkshop : Partial differential equations ; August 5th  August 11th, 2001(
Book
)
1 edition published in 2001 in English and held by 4 WorldCat member libraries worldwide
1 edition published in 2001 in English and held by 4 WorldCat member libraries worldwide
Fast/slow diffusion and growing sandpiles by
Gunnar Aronsson(
Book
)
4 editions published between 1965 and 1996 in English and held by 4 WorldCat member libraries worldwide
4 editions published between 1965 and 1996 in English and held by 4 WorldCat member libraries worldwide
Phase transitions and generalized motion by mean curvature by
L. C Evans(
Book
)
4 editions published between 1990 and 1991 in English and held by 4 WorldCat member libraries worldwide
Abstract: "We study the limiting behavior of solutions to appropriately rescaled versions of the AllenCahn equation, a model for phase transition in polycrystalline material. We rigourously establish the existence in the limit of a phaseantiphase interface evolving according to mean curvature motion. This assertion is valid for all positive time, the motion interpreted in the generalized sense of EvansSpruck and ChenGigaGoto after the onset of geometric singularities."
4 editions published between 1990 and 1991 in English and held by 4 WorldCat member libraries worldwide
Abstract: "We study the limiting behavior of solutions to appropriately rescaled versions of the AllenCahn equation, a model for phase transition in polycrystalline material. We rigourously establish the existence in the limit of a phaseantiphase interface evolving according to mean curvature motion. This assertion is valid for all positive time, the motion interpreted in the generalized sense of EvansSpruck and ChenGigaGoto after the onset of geometric singularities."
An asymptotic model for compression molding by
Gunnar Aronsson(
Book
)
4 editions published in 2001 in English and held by 4 WorldCat member libraries worldwide
4 editions published in 2001 in English and held by 4 WorldCat member libraries worldwide
A Variational Inequality Approach to the BellmanDirichlet Equation for Two Elliptic Operators by
H Brézis(
Book
)
3 editions published in 1977 in English and held by 3 WorldCat member libraries worldwide
3 editions published in 1977 in English and held by 3 WorldCat member libraries worldwide
Differential Games and Representation Formulas for Solutions of HamiltonJacobiIsaacs Equations by
United States(
Book
)
3 editions published in 1983 in English and held by 3 WorldCat member libraries worldwide
Recent work by the authors and others has demonstrated the connections between the dynamic programming approach for twoperson, zerosum differential games and the new notion of viscosity solutions of HamiltonJacobi PDE, (Partial Differential Equations). The basic idea is that the dynamic programming optimality conditions imply that the values of a twoperson, zerosum differential game are viscosity solutions of appropriate PDE. This paper proves the above, when the values of the differential games are defined following ElliottKalton. This results in a great simplification in the statements and proofs, as the definitions are explicit and do not entail any kind of approximations. Moreover, as an application of the above results, the paper contains a representation formula for the solution of a fully nonlinear firstorder PDE. This is then used to prove results about the level sets of solutions of HamiltonJacobi equations with homogeneous Hamiltonians. These results are also related to the theory of Huygen's principle and geometric optics
3 editions published in 1983 in English and held by 3 WorldCat member libraries worldwide
Recent work by the authors and others has demonstrated the connections between the dynamic programming approach for twoperson, zerosum differential games and the new notion of viscosity solutions of HamiltonJacobi PDE, (Partial Differential Equations). The basic idea is that the dynamic programming optimality conditions imply that the values of a twoperson, zerosum differential game are viscosity solutions of appropriate PDE. This paper proves the above, when the values of the differential games are defined following ElliottKalton. This results in a great simplification in the statements and proofs, as the definitions are explicit and do not entail any kind of approximations. Moreover, as an application of the above results, the paper contains a representation formula for the solution of a fully nonlinear firstorder PDE. This is then used to prove results about the level sets of solutions of HamiltonJacobi equations with homogeneous Hamiltonians. These results are also related to the theory of Huygen's principle and geometric optics
Wavefront Propagation for ReactionDiffusion Systems of PDE by
Guy Barles(
Book
)
3 editions published in 1989 in English and held by 2 WorldCat member libraries worldwide
The theory of viscosity solutions for HamiltonJacobi equations is used to study the asymptotic behavior of solutions to certain systems of reactiondiffusion PDE. Our principal result characterizes the region of convergence of the solution to an unstable rest point as the set where the solution of an appropriate HamiltonJacobi equation is positive. Keywords include: Partial differential equations; Wavefront propagation
3 editions published in 1989 in English and held by 2 WorldCat member libraries worldwide
The theory of viscosity solutions for HamiltonJacobi equations is used to study the asymptotic behavior of solutions to certain systems of reactiondiffusion PDE. Our principal result characterizes the region of convergence of the solution to an unstable rest point as the set where the solution of an appropriate HamiltonJacobi equation is positive. Keywords include: Partial differential equations; Wavefront propagation
I cannot go back by
L. C Evans(
)
1 edition published in 2010 in English and held by 1 WorldCat member library worldwide
1 edition published in 2010 in English and held by 1 WorldCat member library worldwide
Military and imperial organization : notes for Certificate "B" and promotion by
L. C Evans(
Book
)
1 edition published in 1935 in English and held by 1 WorldCat member library worldwide
1 edition published in 1935 in English and held by 1 WorldCat member library worldwide
A PDE approach to geometric optics for certain semilinear parabolic equations by
L. C Evans(
Book
)
2 editions published in 1987 in English and held by 1 WorldCat member library worldwide
2 editions published in 1987 in English and held by 1 WorldCat member library worldwide
God's love and forgiveness by
L. C Evans(
)
1 edition published in 2010 in English and held by 1 WorldCat member library worldwide
1 edition published in 2010 in English and held by 1 WorldCat member library worldwide
The great home coming by
L. C Evans(
)
1 edition published in 2009 in English and held by 1 WorldCat member library worldwide
1 edition published in 2009 in English and held by 1 WorldCat member library worldwide
A singular semilinear equation in $ L 1(R) $ by
Michael G Crandall(
Book
)
1 edition published in 1975 in English and held by 1 WorldCat member library worldwide
1 edition published in 1975 in English and held by 1 WorldCat member library worldwide
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Armed ForcesOrganization Cauchy problem Convergence Curvature Difference equations Differential equations, Partial Differential operators Evolution equations Existence theorems Faith ForgivenessBiblical teaching GodLove Great Britain Great Britain.Army HamiltonJacobi equations Heaven Military education Phase transformations (Statistical physics) Reactiondiffusion equations Viscosity solutions Wave equation
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