Scattering for the two-dimensional energy-critical wave equation-Reference-Cited by-同舟云学术

Scattering for the two-dimensional energy-critical wave equation

Published:2009-11-01 Issue:2 Volume:150 Page:
ISSN:0012-7094
Container-title:Duke Mathematical Journal
language:
Short-container-title:Duke Math. J.

Author:

Ibrahim Slim¹,Majdoub Mohamed²,Masmoudi Nader³,Nakanishi Kenji⁴

Affiliation:

1. Department of Mathematics and Statistics, University of Victoria

2. Department of Mathematics, Faculty of Sciences of Tunis, Tunis–El Manar University

3. Department of Mathematics, Courant Institute for Mathematical Sciences, New York University

4. Department of Mathematics, Faculty of Science, Kyoto University

Publisher

Duke University Press

Subject

General Mathematics

Reference44 articles.

1. M. Struwe, Globally regular solutions to the $u^5$ Klein-Gordon equation, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 15 (1988), 495--513.

2. K. Nakanishi, Energy scattering for nonlinear Klein-Gordon and Schrödinger equations in spatial dimensions $1$ and $2$, J. Funct. Anal. 169 (1999), 201--225.

3. M. G. Grillakis, Regularity and asymptotic behaviour of the wave equation with a critical nonlinearity, Ann. of Math. (2) 132 (1990), 485--509.

4. H. Bahouri and P. GéRard, High frequency approximation of solutions to critical nonlinear wave equations, Amer. J. Math. 121 (1999), 131--175.

5. A. A. Baraket, Local existence and estimations for a semilinear wave equation in two dimension space. Boll. Unione Mat. Ital. Sez. B Artic. Ric. Mat. (8) 7 (2004), 1--21.

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