Partial differential equations : an introd. to a general theory of linear boundary value problems

Dezin, Aleksej A.

ISBN 10: 3540166998 / ISBN 13: 9783540166993

Published by Springer, 1987

Berlin ; Heidelberg ; New York ; London ; Paris ; Tokyo : Springer 1987, XII, 163 S. ; 24 cm, gebunden ; sehr guter Zustand. Seller Inventory # sa-m33-1507-6998

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.

Review:

"...this is an outstanding text presenting a healthy challenge not only to students but also to teachers used to more traditional or more pedestrian developments of the subject.--MATHEMATICAL REVIEWS

Bibliographic Details

Title: Partial differential equations : an introd. ...
Publisher: Springer
Publication Date: 1987
Binding: Hardcover