Nonlinear Evolution Equations and Related Topics: Dedicated to Philippe Bénilan

Front Cover
Wolfgang Arendt, Haim Brezis, Michel Pierre
Springer Science & Business Media, Aug 20, 2004 - Mathematics - 807 pages

Philippe Bénilan was a most original and charismatic mathematician who had a deep and decisive impact on the theory of Nonlinear Evolution Equations. This present volume is dedicated to him and contains research papers written by highly distinguished mathematicians. They are all related to Benilan's work and reflect the present state of this most active field. The contributions cover a wide range of nonlinear and linear equations. Special topics include: Hamilton-Jacobi equations, the porous medium equation, reaction diffusion systems, integro-differential equations and visco-elasticity, maximal regularity for elliptic and parabolic equations, and the Ornstein Uhlenbeck operator. Also in this special volume, the legendary work of Bénilan-Brézis on Thomas-Fermi Theory is published for the first time.

 

Selected pages

Contents

III
11
IV
27
V
39
VI
67
VII
119
VIII
137
IX
153
X
167
XXII
393
XXIII
405
XXIV
417
XXV
441
XXVI
461
XXVII
481
XXVIII
495
XXIX
517

XI
201
XII
213
XIII
223
XIV
235
XV
245
XVI
281
XVII
301
XVIII
319
XIX
330
XX
359
XXI
373
XXX
543
XXXI
569
XXXII
591
XXXIII
611
XXXIV
625
XXXV
641
XXXVI
661
XXXVII
757
XXXVIII
771
Copyright

Other editions - View all

Nonlinear Evolution Equations and Related Topics: Dedicated to Philippe Bénilan
Wolfgang Arendt,Haim Brezis,Michel Pierre
Limited preview - 2012
Nonlinear Evolution Equations and Related Topics
Wolfgang Arendt,Haim Brezis,Michel Pierre
No preview available - 2004

Common terms and phrases

Anal assume assumptions asymptotic Banach space Birkhäuser boundary conditions bounded Cauchy problem compact compact support consider constant continuous convergence convex Corollary deduce defined denote Differential Equations Dirichlet domain dx dt dxdt eigenvalues elliptic elliptic operators entropy entropy solution estimate Evolution Equations exists a unique finite follows given global heat equation Hence Hölder inequality holds implies inequality initial data integral L¹(N L¹(R L¹(RN Lemma linear Lipschitz Lipschitz continuous m-accretive Math Mathematics Subject Classification maximal maximum principle measure mild solution Moreover nonlinear nonnegative obtain operator parabolic equations Philippe Bénilan porous medium proof of Theorem properties Proposition prove regularity result satisfies Section semigroup sequence T₁ test function Theorem 1.1 u(to u₁ viscosity solution weak solution ди дх

Popular passages

Page 6 - L' existence and dependence results for semilinear elliptic equations under nonlinear boundary conditions. Appl Math Optim 17: 203—224 [12] Bertsch M, Peletier LA (1986) The asymptotic profile of solutions of degenerate diffusion equations.‎
Appears in 7 books from 1969-2005

Bibliographic information

TitleNonlinear Evolution Equations and Related Topics: Dedicated to Philippe Bénilan
EditorsWolfgang Arendt, Haim Brezis, Michel Pierre
Editionillustrated
PublisherSpringer Science & Business Media, 2004
ISBN3764371072, 9783764371074
Length807 pages
Subjects ›  › 

Mathematics / Differential Equations / General
Mathematics / Mathematical Analysis
  
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