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Könyv Elliptic Functional Differential Equations and Applications Alexander L. Skubachevskii

Elliptic Functional Differential Equations and Applications

Szerző: Alexander L. Skubachevskii
Nyelv: Angol
Kötés: Kemény kötésű
Kiadó: Birkhauser Verlag AG
Elérhetőség: 50 % esély
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31 097 Ft
Boundary value problems for elliptic differential-difference equations have some astonishing propert...

Információk a könyvről

Szerző
Alexander L. Skubachevskii
Nyelv
Angol
Kötés
Könyv - Kemény kötésű
Kiadva
1997
oldal
294
EAN
9783764354046
ISBN
3764354046
Enbook ID
01716261
Kiadó
Birkhauser Verlag AG
Súly
690
Méretek
170 x 240 x 20

Teljes leírás

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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