Elliptic Boundary Value Problems on Corner Domains

Name: Elliptic Boundary Value Problems on Corner Domains
Brand: Springer, Berlin
SKU: 9783540501695
Price: 19721 HUF
Availability: InStock

Smoothness and Asymptotics of Solutions

Szerző: Monique Dauge

Nyelv:

Kötés: Puha kötésű

Kiadó: Springer, Berlin

Elérhetőség: Beszállítói készleten

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This research monograph focusses on a large class of variational elliptic problems with mixed bounda...

Információk a könyvről

Szerző

Monique Dauge

Nyelv

Angol

Kötés

Könyv - Puha kötésű

oldal

264

EAN

9783540501695

ISBN

354050169X

Enbook ID

01565121

Kiadó

Springer, Berlin

Súly

438

Méretek

156 x 234 x 14

Teljes leírás

This research monograph focusses on a large class of variational elliptic problems with mixed boundary conditions on domains with various corner singularities, edges, polyhedral vertices, cracks, slits. In a natural functional framework (ordinary Sobolev Hilbert spaces) Fredholm and semi-Fredholm properties of induced operators are completely characterized. By specially choosing the classes of operators and domains and the functional spaces used, precise and general results may be obtained on the smoothness and asymptotics of solutions. A new type of characteristic condition is introduced which involves the spectrum of associated operator pencils and some ideals of polynomials satisfying some boundary conditions on cones. The methods involve many perturbation arguments and a new use of Mellin transform. Basic knowledge about BVP on smooth domains in Sobolev spaces is the main prerequisite to the understanding of this book. Readers interested in the general theory of corner domains will find here a new basic theory (new approaches and results) as well as a synthesis of many already known results; those who need regularity conditions and descriptions of singularities for numerical analysis will find precise statements and also a means to obtain further one in many explicit situtations.

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Elliptic Boundary Value Problems on Corner Domains

Smoothness and Asymptotics of Solutions

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Teljes leírás

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