| Description |
1 online resource (xxiii, 495 pages) : illustrations |
| Series |
Contemporary mathematics, 0271-4132 ; 446 |
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Contemporary mathematics (American Mathematical Society)
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| Contents |
On Haim Brézis --- Speech of On Haim Brézis --- Speech of Michal Gorvin --- Vortex patterns in Bose Einstein condensates / A. Aftalion --- Concentration phenomena for nonlinear Schrodinger equations: Recent results and new perspectives / A. Ambrosetti and A. Malchiodi --- On the chain rule for the divergence of $BV$-like vector fields: Applications, partial results, open problems / L. Ambrosio, C. De Lellis, and J. Maly --- Compactness / A. Bahri --- Generalized travelling waves for reaction-diffusion equations / H. Berestycki and F. Hamel --- Some questions related to the lifting problem in Sobolev spaces / F. Bethuel and D. Chiron --- Normal forms and the nonlinear Schrodinger equation / J. Bourgain --- Extremal solutions and instantaneous complete blow-up for elliptic and parabolic problems / X. Cabré --- Capillary drops on an inhomogeneous surface / L.A. Caffarelli and A. Mellet --- Diffusive Lagrangian transformations, Navier-Stokes equations and applications / P. Constantin --- Some open problems on the control of nonlinear partial differential equations / J.-M. Coron --- The 1-Laplacian, the $\infty$-Laplacian and differential games / L.C. Evans --- Probabilistic approach to a class of semilinear partial differential equations / J.-F. Le Gall --- Variational methods in image processing / A. Haddad and Y. Meyer --- Null hypersurfaces with finite curvature flux and a breakdown criterion in general relativity / S. Klainerman --- Some Liouville theorems and applications / Y. Li --- Analysis on Faddeev knots and Skyrme solitons: Recent progress and open problems / F. Lin and Y. Yang --- The precise boundary trace of positive solutions of the equation $\Delta u=ûq$ in the supercritical case / M. Marcus and L. Véron --- Blow-up in nonlinear heat equations with supercritical power nonlinearity / H. Matano --- Sobolev maps on manifolds: Degree, approximation, lifting / P. Mironescu --- Partial and full symmetry of solutions of quasilinear elliptic equations, via the comparison principle / P. Pucci, B. Sciunzi, and J. Serrin --- Single and multi-transition solutions of a family of pde's / P.H. Rabinowitz --- Some methods and issues in the dynamics of vortices in the parabolic Ginzburg-Landau equations / S. Serfaty |
| Summary |
In celebration of Haim Brezis's 60th birthday, a conference was held at the Ecole Polytechnique in Paris, with a program testifying to Brezis's wide-ranging influence on nonlinear analysis and partial differential equations. The articles in this volume are primarily from that conference. They present a rare view of the state of the art of many aspects of nonlinear PDEs, as well as describe new directions that are being opened up in this field. The articles, written by mathematicians at the center of current developments, provide somewhat more personal views of the important developments and challenges. In his own work, Brezis has been a seminal influence in many important areas: critical growth in semi-linear equations, variational analysis of functionals in borderline compactness cases, vector valued equations, the Ginzburg-Landau theory, as well as generalized degree theory and fine properties of Sobolev spaces. This same breadth is reflected in the mathematics in this collection. -- Book cover |
| Bibliography |
Includes bibliographical references |
| Notes |
Print version record |
| Subject |
Differential equations, Partial.
|
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Differential equations, Nonlinear.
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Differential equations, Nonlinear
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Differential equations, Partial
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| Form |
Electronic book
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| Author |
Berestycki, H. (Henri)
|
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Brézis, H. (Haim)
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| LC no. |
2007060842 |
| ISBN |
9780821881255 |
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0821881256 |
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9780821841907 |
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0821841904 |
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9780821857755 |
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0821857754 |
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