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221028 ||| eng |
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|a 9780444521095
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|a 0080461735
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|a 0444521097
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4 |
|a QA379
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1 |
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|a Borsuk, Mikhail
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|a Elliptic boundary value problems of second order in piecewise smooth domains
|c Mikhail Borsuk, Vladimir Kondratiev
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| 250 |
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|a 1st ed
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| 260 |
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|a Amsterdam
|b Elsevier
|c 2006, 2006
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| 300 |
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|a v, 531 pages
|b illustrations
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| 505 |
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|a Includes bibliographical references (pages 497-525) and indexes
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|a Introduction. -- 1. Preliminaries. -- 2. Integral inequalities. -- 3. The Laplace operator. -- 4. Strong solutions of the Dirichlet problem for linear equations. -- 5. The Dirichlet problem for elliptic linear. -- divergent equations in a nonsmooth domain. -- 6. The Dirichlet problem for semilinear equations in a conical domain. -- 7. Strong solutions of the Dirichlet problem for nondivergence quasilinear equations. -- 8. Weak solutions of the Dirichlet problem for elliptic divergence form quasilinear equations. -- 9. The behavior of weak solutions to the boundary value problems for elliptic quasilinear equations with triple degeneration in a neighborhood of a boundary edge. -- 10. Sharp estimates of solutions to the Robin. -- boundary value problem for elliptic non divergence second order equations in a neighborhood of the conical point. -- Bibliography. -- Notation Index. -- Index
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| 653 |
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|a MATHEMATICS / Differential Equations / Partial / bisacsh
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| 653 |
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|a Differential equations, Elliptic / fast / (OCoLC)fst00893458
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| 653 |
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|a Differential equations, Elliptic / http://id.loc.gov/authorities/subjects/sh85037895
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| 653 |
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|a Équations différentielles elliptiques
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| 653 |
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|a Boundary value problems / fast / (OCoLC)fst00837122
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| 653 |
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|a Boundary value problems / http://id.loc.gov/authorities/subjects/sh85016102
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| 653 |
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|a Problèmes aux limites
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| 700 |
1 |
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|a Kondratʹev, V. P.
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| 041 |
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7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b ZDB-1-ELC
|a Elsevier eBook collection Mathematics
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| 490 |
0 |
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|a North-Holland mathematical library
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| 776 |
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|z 0080461735
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| 776 |
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|z 9780080461731
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| 856 |
4 |
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|u https://www.sciencedirect.com/science/bookseries/09246509/69
|x Verlag
|3 Volltext
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| 082 |
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|a 515/.3533
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| 520 |
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|a 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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