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Applicable Analysis
An International Journal
Volume 90, 2011 - Issue 12: Includes three papers from the Nonlinear PDE and Applications conference
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Papers from the Nonlinear PDE and Applications Conference

On some anisotropic, nonlocal, parabolic singular perturbations problems

Michel Chipot Institute of Mathematics, University of Zurich, Winterthurerstrasse 190, CH-8057 Zurich, SwitzerlandCorrespondence[email protected]
&
Senoussi Guesmia Institute of Mathematics, University of Zurich, Winterthurerstrasse 190, CH-8057 Zurich, Switzerland
Pages 1775-1789 | Received 12 Nov 2009, Accepted 04 Jan 2010, Published online: 14 Oct 2010

References

  • Brighi , B and Guesmia , S . 2007 . Asymptotic behavior of solutions of hyperbolic problems on a cylindrical domain . Discrete Contin. Dyn. Syst. (Suppl.) , : 160 – 169 .
  • Chipot , M . 2007 . On some anisotropic singular perturbation problems . Asymptotic Anal. , 55 ( 3–4 ) : 125 – 144 .
  • M. Chipot and S. Guesmia, Correctors for some asymptotic problems, Proc. Steklov Inst. Math. 270 (2010), to appear.
  • S. Guesmia, Etude du comportement asymptotique de certaines équations aux dérivées partielles dans des domaines cylindriques, Thèse, Université de Haute Alsace, 2006.
  • Guesmia , S . 2008 . On the asymptotic behavior of elliptic boundary value problems with some small coefficients . Electro. J. Differ. Equ. , 59 : 1 – 13 .
  • Lions , JL . 1973 . Perturbations Singulières dans les Problèmes aux Limites et en Contrôle Optimal, Lecture Notes in Mathematics , Vol. 323 , Berlin : Springer-Verlag .
  • Chipot , M . 2000 . Element of Nonlinear Analysis , Basel : Birkhäuser .
  • Dautray , R and Lions , JL . 1987 . Analyse Mathématique et Calcul Numérique , Vol. 3 , Paris : Masson .
  • Chipot , M . 2009 . Elliptic Equations: An Introductory Course , Basel : Birkhäuser .
  • Chipot , M and Guesmia , S . 2009 . On the asymptotic behavior of elliptic, anisotropic singular perturbations problems . Commun. Pure Appl. Anal. , 8 ( 1 ) : 179 – 193 .

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