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| 001 | ocn162587091 | ||
| 003 | OCoLC | ||
| 005 | 20141103172224.0 | ||
| 006 | m o d | ||
| 007 | cr cn||||||||| | ||
| 008 | 070806s2006 ne a ob 001 0 eng d | ||
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| 019 |
_a76938077 _a505117524 _a647547889 _a779919652 |
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| 020 | _a9780444521095 | ||
| 020 | _a0444521097 | ||
| 020 | _a0080461735 (electronic bk.) | ||
| 020 | _a9780080461731 (electronic bk.) | ||
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_a(OCoLC)162587091 _z(OCoLC)76938077 _z(OCoLC)505117524 _z(OCoLC)647547889 _z(OCoLC)779919652 |
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| 037 |
_a116412:116510 _bElsevier Science & Technology _nhttp://www.sciencedirect.com |
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_aQA379 _b.B67 2006eb |
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_aMAT _x007020 _2bisacsh |
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| 082 | 0 | 4 |
_a515/.3533 _222 |
| 049 | _aTEFA | ||
| 100 | 1 | _aBorsuk, Mikhail. | |
| 245 | 1 | 0 |
_aElliptic boundary value problems of second order in piecewise smooth domains _h[electronic resource] / _cMikhail Borsuk, Vladimir Kondratiev. |
| 250 | _a1st ed. | ||
| 260 |
_aAmsterdam ; _aBoston : _bElsevier, _c2006. |
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| 300 |
_a1 online resource (v, 531 p.) : _bill. |
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| 490 | 1 |
_aNorth-Holland mathematical library ; _vv. 69 |
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| 520 | _aThe 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. | ||
| 505 | 0 | _aIntroduction. -- 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. | |
| 504 | _aIncludes bibliographical references (p. 497-525) and indexes. | ||
| 588 | _aDescription based on print version record. | ||
| 650 | 0 | _aBoundary value problems. | |
| 650 | 0 | _aDifferential equations, Elliptic. | |
| 650 | 7 |
_aMATHEMATICS _xDifferential Equations _xPartial. _2bisacsh |
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| 650 | 7 |
_aBoundary value problems. _2local |
|
| 650 | 7 |
_aDifferential equations, Elliptic. _2local |
|
| 650 | 7 |
_aBoundary value problems. _2fast _0(OCoLC)fst00837122 |
|
| 650 | 7 |
_aDifferential equations, Elliptic. _2fast _0(OCoLC)fst00893458 |
|
| 655 | 4 | _aElectronic books. | |
| 700 | 1 |
_aKondrat�ev, V. P. _q(Vladimir Pavlovich) |
|
| 776 | 0 | 8 |
_iPrint version: _aBorsuk, Mikhail. _tElliptic boundary value problems of second order in piecewise smooth domains. _b1st ed. _dAmsterdam ; Boston : Elsevier, 2006 _z0444521097 _z9780444521095 _w(DLC) 2005044878 _w(OCoLC)62408774 |
| 830 | 0 |
_aNorth-Holland mathematical library ; _vv. 69. |
|
| 856 | 4 | 0 |
_3ScienceDirect _uhttp://www.sciencedirect.com/science/book/9780444521095 |
| 856 | 4 |
_uhttp://www.sciencedirect.com/science/publication?issn=09246509&volume=69 _3Volltext |
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_aYBP Library Services _bYANK _n2495588 |
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| 938 |
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