Książka Elliptic Functional Differential Equations and Applications Alexander L. Skubachevskii

Elliptic Functional Differential Equations and Applications

Język: Angielski
Oprawa: Twarda
Dostępność: 50 % szansa
Przeszukamy cały świat
377.21
Boundary value problems for elliptic differential-difference equations have some astonishing propert...

Informacje o książce

Język
Angielski
Oprawa
Książka - Twarda
Data wydania
1997
strony
294
EAN
9783764354046
ISBN
3764354046
Enbook ID
01716261
Waga
690
Wymiary
170 x 240 x 20

Pełny opis

Boundary value problems for elliptic differential-difference equations have some astonishing properties. For example, unlike elliptic differential equations, the smoothness of the generalized solutions can be broken in a bounded domain and is preserved only in some subdomains. The symbol of a self-adjoint semibounded functional differential operator can change its sign. The purpose of this book is to present for the first time general results concerning solvability and spectrum of these problems, a priori estimates and smoothness of solutions. The approach is based on the properties of elliptic operators and difference operators in Sobolev spaces. The most important features distinguishing this work are applications to different fields of science. The methods in this book are used to obtain new results regarding the solvability of nonlocal elliptic boundary value problems and the existence of Feller semigroups for multidimensional diffusion processes. Moreover, applications to control theory and aircraft and rocket technology are given. The theory is illustrated with numerous figures and examples. The book is addresssed to graduate students and researchers in partial differential equations and functional differential equations. It will also be of use to engineers in control theory and elasticity theory.

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