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Item Details
| Title:
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ELLIPTIC BOUNDARY VALUE PROBLEMS OF SECOND ORDER IN PIECEWISE SMOOTH DOMAINS
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| Volume: |
Volume 69 |
| By: |
Michail Borsuk, Vladimir Kondratiev |
| Format: |
Hardback |
| List price:
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£180.00 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
0444521097 |
| ISBN 13: |
9780444521095 |
| Publisher: |
ELSEVIER SCIENCE & TECHNOLOGY |
| Pub. date: |
12 January, 2006 |
| Edition: |
69th edition |
| Series: |
North-Holland Mathematical Library |
| Pages: |
538 |
| Description: |
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 boundary value problems, regularity assertions for solutions near singular points, and more. |
| 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. |
| Publication: |
UK |
| Imprint: |
Elsevier Science Ltd |
| Returns: |
Non-returnable |
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