Pazy, A.
Overview
Works:  27 works in 74 publications in 6 languages and 672 library holdings 

Genres:  Biography 
Roles:  Author 
Classifications:  QA1, 515.7246 
Publication Timeline
.
Most widely held works by
A Pazy
Semigroups of linear operators and applications to partial differential equations by
Amnon Pazy(
Book
)
31 editions published between 1973 and 2012 in 3 languages and held by 591 WorldCat member libraries worldwide
From the reviews: "Since E. Hille and K. Yoshida established the characterization of generators of C0 semigroups in the 1940s, semigroups of linear operators and its neighboring areas have developed into a beautiful abstract theory. Moreover, the fact that mathematically this abstract theory has many direct and important applications in partial differential equations enhances its importance as a necessary discipline in both functional analysis and differential equations. In my opinion Pazy has done an outstanding job in presenting both the abstract theory and basic applications in a clear and interesting manner. The choice and order of the material, the clarity of the proofs, and the overall presentation make this an excellent place for both researchers and students to learn about C0 semigroups." #Bulletin Applied Mathematical Sciences 4/85#1 "In spite of the other monographs on the subject, the reviewer can recommend that of Pazy as being particularly written, with a bias noticeably different from that of the other volumes. Pazy's decision to give a connected account of the applications to partial differential equations in the last two chapters was a particularly happy one, since it enables one to see what the theory can achieve much better than would the insertion of occasional examples. The chapters achieve a very nice balance between being so easy as to appear disappointing, and so sophisticated that they are incomprehensible except to the expert." #Bulletin of the London Mathematical Society#2
31 editions published between 1973 and 2012 in 3 languages and held by 591 WorldCat member libraries worldwide
From the reviews: "Since E. Hille and K. Yoshida established the characterization of generators of C0 semigroups in the 1940s, semigroups of linear operators and its neighboring areas have developed into a beautiful abstract theory. Moreover, the fact that mathematically this abstract theory has many direct and important applications in partial differential equations enhances its importance as a necessary discipline in both functional analysis and differential equations. In my opinion Pazy has done an outstanding job in presenting both the abstract theory and basic applications in a clear and interesting manner. The choice and order of the material, the clarity of the proofs, and the overall presentation make this an excellent place for both researchers and students to learn about C0 semigroups." #Bulletin Applied Mathematical Sciences 4/85#1 "In spite of the other monographs on the subject, the reviewer can recommend that of Pazy as being particularly written, with a bias noticeably different from that of the other volumes. Pazy's decision to give a connected account of the applications to partial differential equations in the last two chapters was a particularly happy one, since it enables one to see what the theory can achieve much better than would the insertion of occasional examples. The chapters achieve a very nice balance between being so easy as to appear disappointing, and so sophisticated that they are incomprehensible except to the expert." #Bulletin of the London Mathematical Society#2
Remarks on nonlinear ergodic theory in Hilbert space by
A Pazy(
Book
)
3 editions published in 1978 in English and held by 6 WorldCat member libraries worldwide
3 editions published in 1978 in English and held by 6 WorldCat member libraries worldwide
Calcul des barres de contrôle dans un réacteur rectangulaire et applications by
S Goshen(
Book
)
1 edition published in 1960 in French and held by 4 WorldCat member libraries worldwide
1 edition published in 1960 in French and held by 4 WorldCat member libraries worldwide
Remarks on generators of analytic semigroups by
Michael G Crandall(
Book
)
4 editions published in 1979 in English and held by 4 WorldCat member libraries worldwide
4 editions published in 1979 in English and held by 4 WorldCat member libraries worldwide
An approximation of integrable functions by step functions with an application by
Michael G Crandall(
Book
)
4 editions published between 1978 and 1979 in English and held by 4 WorldCat member libraries worldwide
4 editions published between 1978 and 1979 in English and held by 4 WorldCat member libraries worldwide
Nonlinear evolution equations in Banach spaces by
Michael G Crandall(
Book
)
3 editions published in 1972 in English and held by 3 WorldCat member libraries worldwide
3 editions published in 1972 in English and held by 3 WorldCat member libraries worldwide
Strong convergence of semigroups of nonlinear contractions in hilbert space by
A Pazy(
Book
)
3 editions published in 1978 in English and held by 3 WorldCat member libraries worldwide
3 editions published in 1978 in English and held by 3 WorldCat member libraries worldwide
Some remarks on nonlinear ergodic theory in hilbert space by
A Pazy(
Book
)
3 editions published in 1980 in 3 languages and held by 2 WorldCat member libraries worldwide
3 editions published in 1980 in 3 languages and held by 2 WorldCat member libraries worldwide
On the range accretive operators by
Michael G Crandall(
Book
)
2 editions published in 1976 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1976 in English and held by 2 WorldCat member libraries worldwide
Ordinary differential equations in Hilbert and Banach spaces, and applications by
Amnon Pazy(
Book
)
2 editions published in 1965 in Undetermined and Hebrew and held by 2 WorldCat member libraries worldwide
2 editions published in 1965 in Undetermined and Hebrew and held by 2 WorldCat member libraries worldwide
Lectures on accretive operators and non linear differential equations in Banach spaces by
A Pazy(
Book
)
2 editions published in 1981 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1981 in English and held by 2 WorldCat member libraries worldwide
Optimizing a natural uranium heavy water research reactor by
S Goshen(
Book
)
1 edition published in 1963 in English and held by 1 WorldCat member library worldwide
1 edition published in 1963 in English and held by 1 WorldCat member library worldwide
On the Range of Accretive Operators(
Book
)
1 edition published in 1976 in English and held by 1 WorldCat member library worldwide
The solvability of the nonlinear operator equation w = x + Bx, where B is accretive in a general Banach space X is studied by means of discrete approximations. In particular, an algorithm is given for solving the equation in the case that B is continuous and everywhere defined. (Author)
1 edition published in 1976 in English and held by 1 WorldCat member library worldwide
The solvability of the nonlinear operator equation w = x + Bx, where B is accretive in a general Banach space X is studied by means of discrete approximations. In particular, an algorithm is given for solving the equation in the case that B is continuous and everywhere defined. (Author)
Strong Convergence of Semigroups of Nonlinear Contractions in Hilbert Space(
Book
)
1 edition published in 1978 in English and held by 1 WorldCat member library worldwide
The present paper deals with the strong convergence of trajectories S(t)x of a strongly continuous semigroup of contractions S(t), as t approaches infinity. A general sufficient condition for such convergence to occur is introduced and some examples in which the condition is satisfied are provided. Strengthening the general convergence condition, sufficient conditions for certain rates of convergence of S(t)x to its limit are exhibited. In particular a sufficient condition for a trajectory to reach equilibrium in finite time is given. The convergence as t approaches infinity of solutions of certain nonautonomous equations and a discrete version of all the previous results are briefly discussed. (Author)
1 edition published in 1978 in English and held by 1 WorldCat member library worldwide
The present paper deals with the strong convergence of trajectories S(t)x of a strongly continuous semigroup of contractions S(t), as t approaches infinity. A general sufficient condition for such convergence to occur is introduced and some examples in which the condition is satisfied are provided. Strengthening the general convergence condition, sufficient conditions for certain rates of convergence of S(t)x to its limit are exhibited. In particular a sufficient condition for a trajectory to reach equilibrium in finite time is given. The convergence as t approaches infinity of solutions of certain nonautonomous equations and a discrete version of all the previous results are briefly discussed. (Author)
On a branching process in neutron transport theory by
A Pazy(
Book
)
1 edition published in 1972 in English and held by 1 WorldCat member library worldwide
1 edition published in 1972 in English and held by 1 WorldCat member library worldwide
Remarks on Nonlinear Ergodic Theory in Hilbert Space(
Book
)
1 edition published in 1978 in English and held by 1 WorldCat member library worldwide
This note gives a simple unified presentation of some recent ergodic results for semigroups of nonexpansive mappings in Hilbert space
1 edition published in 1978 in English and held by 1 WorldCat member library worldwide
This note gives a simple unified presentation of some recent ergodic results for semigroups of nonexpansive mappings in Hilbert space
Nonlinear Evolution Equations in Banach Spaces(
Book
)
1 edition published in 1972 in English and held by 1 WorldCat member library worldwide
The evolution problem 0 belong to du/dt + A(t)u(t), u(s) = x, where the A(t) are nonlinear operators acting in a Banach space, is studied. Evolution operators are constructed from the A(t) under various assumptions. Basic properties of these evolution operators are established and their relationship to the evolution equation is studied. The results obtained extend several known existence theorems and provide generalized solutions of the evolution equation in more general cases. (Author)
1 edition published in 1972 in English and held by 1 WorldCat member library worldwide
The evolution problem 0 belong to du/dt + A(t)u(t), u(s) = x, where the A(t) are nonlinear operators acting in a Banach space, is studied. Evolution operators are constructed from the A(t) under various assumptions. Basic properties of these evolution operators are established and their relationship to the evolution equation is studied. The results obtained extend several known existence theorems and provide generalized solutions of the evolution equation in more general cases. (Author)
The xenon effect on the statics of a thermal reactor by
Ira Aviram(
Book
)
1 edition published in 1963 in English and held by 1 WorldCat member library worldwide
1 edition published in 1963 in English and held by 1 WorldCat member library worldwide
A perturbation theorem for linear mdisspative operators by
A Pazy(
Book
)
in Spanish and held by 1 WorldCat member library worldwide
in Spanish and held by 1 WorldCat member library worldwide
more
fewer
Audience Level
0 

1  
Kids  General  Special 
Related Identities
 Crandall, M. G. Author
 WISCONSIN UNIVMADISON MATHEMATICS RESEARCH CENTER
 University of WisconsinMadison Mathematics Research Center
 Goshen, S. Author
 Tartar, L.
 Israel Waada leenergya atomit
 Tartar, Luc
 SpringerVerlag (Berlin) Publisher
 帕斯
 Instituto de matemática pura e aplicada (Rio de Janeiro)
Associated Subjects
Approximation theory Banach spaces Convergence Differential equations, Elliptic Differential equations, Partial Differential equations, PartialNumerical solutions Ergodic theory Evolution equations, Nonlinear Functions Global analysis (Mathematics) Group theory Hilbert space Initial value problems Israel Linear operators Mathematicians Mathematics Semigroups Semigroups of operators