Elliptic Functional Differential Equations and Applications: 91 (Operator Theory: Advances and Applications) - Tapa blanda

Skubachevskii, Alexander L.

 
9783034898775: Elliptic Functional Differential Equations and Applications: 91 (Operator Theory: Advances and Applications)
Tapa blanda
ISBN 10: 3034898770 ISBN 13: 9783034898775
Editorial: Birkhäuser, 2011

Sinopsis

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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Reseña del editor

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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Birkhäuser
Año de publicación
2011
Idioma
Inglés
ISBN 10 
3034898770
ISBN 13 
9783034898775
Encuadernación
Tapa blanda
Número de páginas
308
Contacto del fabricante
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Darmstadt
64293
Alemania

Otras ediciones populares con el mismo título

9783764354046: Elliptic Functional Differential Equations and Applications: 91 (Operator Theory: Advances and Applications, 91)

Edición Destacada

ISBN 10:  3764354046 ISBN 13:  9783764354046
Editorial: Birkhauser Verlag AG, 1997
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