Elliptic Boundary Value Problems of Second Order in Piecewise Smooth Domains

Michail (University of Warmia and Mazury in Olsztyn Borsuk

ISBN 10: 0444521097 / ISBN 13: 9780444521095

Editore: Elsevier Science & Technology Jan 2006, 2006

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Neuware - The book contains a systematic treatment of the qualitative theory of elliptic boundary value problems for linear and quasilinear second order equations in non-smooth domains. The authors concentrate on the following fundamental results: sharp estimates for strong and weak solutions, solvability of the boundary value problems, regularity assertions for solutions near singular points.

Codice articolo 9780444521095

Dati bibliografici

• Titolo: Elliptic Boundary Value Problems of Second Order in Piecewise Smooth Domains
• Editore: Elsevier Science & Technology Jan 2006
• Data di pubblicazione: 2006
• Lingua: Inglese
• ISBN 10: 0444521097
• ISBN 13: 9780444521095
• Rilegatura: Buch
• Condizione: Neu
• Dimensioni: 240 L x 170 A x 35 P (millimetri) 240 millimetri di larghezza per 170 millimetri di altezza per 35 millimetri di profondità
• Peso: 896 grammi

Descrizione articolo

Riassunto

The book contains a systematic treatment of the qualitative theory of elliptic boundary value problems for linear and quasilinear second order equations in non-smooth domains. The authors concentrate on the following fundamental results: sharp estimates for strong and weak solutions, solvability of the boundary value problems, regularity assertions for solutions near singular points.

Key features:

* New the Hardy - Friedrichs - Wirtinger type inequalities as well as new integral inequalities related to the Cauchy problem for a differential equation.
* Precise exponents of the solution decreasing rate near boundary singular points and best possible conditions for this.
* The question about the influence of the coefficients smoothness on the regularity of solutions.
* New existence theorems for the Dirichlet problem for linear and quasilinear equations in domains with conical points.
* The precise power modulus of continuity at singular boundary point for solutions of the Dirichlet, mixed and the Robin problems.
* The behaviour of weak solutions near conical point for the Dirichlet problem for m - Laplacian.
* The behaviour of weak solutions near a boundary edge for the Dirichlet and mixed problem for elliptic quasilinear equations with triple degeneration.

* Precise exponents of the solution decreasing rate near boundary singular points and best possible conditions for this.
* The question about the influence of the coefficients smoothness on the regularity of solutions.
* New existence theorems for the Dirichlet problem for linear and quasilinear equations in domains with conical points.
* The precise power modulus of continuity at singular boundary point for solutions of the Dirichlet, mixed and the Robin problems.
* The behaviour of weak solutions near conical point for the Dirichlet problem for m - Laplacian.
* The behaviour of weak solutions near a boundary edge for the Dirichlet and mixed problem for elliptic quasilinear equations with triple degeneration.

Product Description

Book by Borsuk Dr Sci in Mathematics Michail Kondratiev D