Diffusion equations / Seizo Ito

Auteur principal : Itō, Seizō, 1927-, AuteurType de document : MonographieCollection : Translations of mathematical monographs, 114Langue : anglais.Pays: Etats Unis.Éditeur : Providence : American Mathematical Society, 1992Description : 1 vol. (X-225 p.) ; 26 cmISBN: 0821845705.ISSN: 0065-9282.Bibliographie : Bibliogr. p. 221-223. Index.Sujet MSC : 35K20, PDEs - Parabolic equations and parabolic systems, Initial-boundary value problems for second-order parabolic equations
35A08, General topics in partial differential equations, Fundamental solutions to PDEs
35K10, PDEs - Parabolic equations and parabolic systems, Second-order parabolic equations
35C10, Representations of solutions to partial differential equations, Series solutions to PDEs
35J15, PDEs - Elliptic equations and elliptic systems, Second-order elliptic equations
En-ligne : Zentralblatt | MathSciNet | AMS Item type: Monographie
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Bibliogr. p. 221-223. Index

This book presents a self-contained exposition of the theory of initial-boundary value problems for diffusion equations. Intended as a graduate textbook, the book is of interest to mathematicians as well as theoretical physicists. Because it uses as little knowledge of functional analysis as possible, the book is accessible to those with a background in multivariable calculus, elementary Lebesgue integral theory, and basic parts of the theory of integral equations. Itô treats diffusion equations with variable coefficients associated with boundary conditions and the corresponding elliptic differential equations. The fundamental solution of the initial-boundary value problem and Green's function for the elliptic boundary value problem are constructed, and the existence of solutions of these problems is proved. In addition, the book discusses several important properties of the solutions. (source : AMS)

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