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Elliptic Boundary Value Problems of Second Order in Piecewise Smooth Domains (Volume 69) (North-Holland Mathematical Library, Volume 69) - Hardcover
Synopsis
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.
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Elliptic Boundary Value Problems of Second Order in Piecewise Smooth Domains (Volume 69) (North-Holland Mathematical Library, Volume 69)
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Gebunden. Condition: New. Provides information on the qualitative theory of elliptic boundary value problems for linear and quasilinear second order equations in non-smooth domains. This book presents such results as: sharp estimates for strong and weak solutions, solvability of bou. Seller Inventory # 594685893
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Elliptic Boundary Value Problems of Second Order in Piecewise Smooth Domains, Volume 69 (North-Holland Mathematical Library)
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Elliptic Boundary Value Problems of Second Order in Piecewise Smooth Domains
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Elsevier Science & Technology Jan 2006, 2006
ISBN 10: 0444521097
ISBN 13: 9780444521095
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Buch. Condition: Neu. 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. Seller Inventory # 9780444521095
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