Publié-e

2000-07-01

Global well-posedness for two dimensional semilinear wave equations

Mots-clés :

Nonlinear wave equations, global solutions, initial value problems (es)

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Auteurs-es

  • Germán E. Fonseca Universidad Nacional de Colombia

We consider the initial value problem (IVP) for certain semilinear wave equations in two dimensions. It is shown that global well-posedness holds in spaces of lower regularity than that suggested by the energy space H1 x L2x. The technique to be used is adapted from a general scheme originally introduced by J. Bourgain to establish global well posedness of the cubic nonlinear Schrödinger equation.

Comment citer

APA

Fonseca, G. E. (2000). Global well-posedness for two dimensional semilinear wave equations. Revista Colombiana de Matemáticas, 34(2), 91–101. https://revistas.unal.edu.co/index.php/recolma/article/view/33773

ACM

[1]
Fonseca, G.E. 2000. Global well-posedness for two dimensional semilinear wave equations. Revista Colombiana de Matemáticas. 34, 2 (juill. 2000), 91–101.

ACS

(1)
Fonseca, G. E. Global well-posedness for two dimensional semilinear wave equations. rev.colomb.mat 2000, 34, 91-101.

ABNT

FONSECA, G. E. Global well-posedness for two dimensional semilinear wave equations. Revista Colombiana de Matemáticas, [S. l.], v. 34, n. 2, p. 91–101, 2000. Disponível em: https://revistas.unal.edu.co/index.php/recolma/article/view/33773. Acesso em: 22 janv. 2025.

Chicago

Fonseca, Germán E. 2000. « Global well-posedness for two dimensional semilinear wave equations ». Revista Colombiana De Matemáticas 34 (2):91-101. https://revistas.unal.edu.co/index.php/recolma/article/view/33773.

Harvard

Fonseca, G. E. (2000) « Global well-posedness for two dimensional semilinear wave equations », Revista Colombiana de Matemáticas, 34(2), p. 91–101. Disponible à: https://revistas.unal.edu.co/index.php/recolma/article/view/33773 (Consulté le: 22 janvier 2025).

IEEE

[1]
G. E. Fonseca, « Global well-posedness for two dimensional semilinear wave equations », rev.colomb.mat, vol. 34, nᵒ 2, p. 91–101, juill. 2000.

MLA

Fonseca, G. E. « Global well-posedness for two dimensional semilinear wave equations ». Revista Colombiana de Matemáticas, vol. 34, nᵒ 2, juillet 2000, p. 91-101, https://revistas.unal.edu.co/index.php/recolma/article/view/33773.

Turabian

Fonseca, Germán E. « Global well-posedness for two dimensional semilinear wave equations ». Revista Colombiana de Matemáticas 34, no. 2 (juillet 1, 2000): 91–101. Consulté le janvier 22, 2025. https://revistas.unal.edu.co/index.php/recolma/article/view/33773.

Vancouver

1.
Fonseca GE. Global well-posedness for two dimensional semilinear wave equations. rev.colomb.mat [Internet]. 1 juill. 2000 [cité 22 janv. 2025];34(2):91-101. Disponible à: https://revistas.unal.edu.co/index.php/recolma/article/view/33773

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