Partial Differential Equations: An Introduction to a General Theory of Linear Boundary Value Problems (Springer Series in Soviet Mathematics)

Dezin, Aleksei A.

ISBN 10: 364271336X / ISBN 13: 9783642713361

Published by Springer, 2011

About this Item

Seller Inventory # I-9783642713361

Bibliographic Details

• Title: Partial Differential Equations: An Introduction to a General Theory of Linear Boundary Value Problems (Springer Series in Soviet Mathematics)
• Publisher: Springer
• Publication Date: 2011
• Language: English
• ISBN 10: 364271336X
• ISBN 13: 9783642713361
• Binding: Soft cover
• Condition: New

About this title

Synopsis

Let me begin by explaining the meaning of the title of this book. In essence, the book studies boundary value problems for linear partial differ­ ential equations in a finite domain in n-dimensional Euclidean space. The problem that is investigated is the question of the dependence of the nature of the solvability of a given equation on the way in which the boundary conditions are chosen, i.e. on the supplementary requirements which the solution is to satisfy on specified parts of the boundary. The branch of mathematical analysis dealing with the study of boundary value problems for partial differential equations is often called mathematical physics. Classical courses in this subject usually consider quite restricted classes of equations, for which the problems have an immediate physical context, or generalizations of such problems. With the expanding domain of application of mathematical methods at the present time, there often arise problems connected with the study of partial differential equations that do not belong to any of the classical types. The elucidation of the correct formulation of these problems and the study of the specific properties of the solutions of similar equations are closely related to the study of questions of a general nature.

Language Notes

Text: English, Russian (translation)