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BIBTEX RIS

On global well-posedness for defocusing cubic wave equation

2006; Oxford University Press; Linguagem: Inglês

10.1155/imrn/2006/54873

ISSN

1687-0247

Autores

Hajer Bahouri, J.-Y. Chemin,

Tópico(s)

Stability and Controllability of Differential Equations

Resumo

We prove that the semilinear wave equation □u + u3 = 0 in ℝ3 is globally well-posed for data in the homogeneous Sobolev space H3/4(ℝ3). The proof is based on a nonlinear interpolation method and logarithmic Strichartz estimates.

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