Geodesic
Remark on the null-condition for the nonlinear wave equation
Bollettino della Unione matematica italiana, Série 8, 3B (2000) no. 1, pp. 135-145.

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

Dimostriamo l'esistenza della soluzione globale per un sistema di equazioni delle onde con nonlinearità quadratica dipendente dalle variabili spazio-tempo. Come in [3] la tecnica è basata sulla trasformazione di Penrose. 
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Tzvetkov, Nickolay. Remark on the null-condition for the nonlinear wave equation. Bollettino della Unione matematica italiana, Série 8, 3B (2000) no. 1, pp. 135-145. http://geodesic.mathdoc.fr/item/BUMI_2000_8_3B_1_a6/

[1] Y. Choquet-Bruhat-Cécile De Witt-Morette, Analysis, Manifolds and Physics, Part 2, North-Holland (1989). | Zbl

[2] Y. Choquet-Bruhat-D. Christodoulou, Existence of global solutions of the Yang-Mils, Higgs and spinor field equations in $3+1$ dimensions, Ann. E.N.S., 4ème Série, 14 (1981), 481-500. | fulltext mini-dml | MR | Zbl

[3] D. Christodoulou, Global solutions of nonlinear hyperbolic equations for small initial data, Comm. Pure. Appl. Math., 39 (1986), 267-282. | MR | Zbl

[4] V. Georgiev, Global solution of the system of wave and Klein-Gordon equations, Math. Z., 203 (1990), 683-698. | MR | Zbl

[5] S. Klainerman, The null condition and global existence to nonlinear wave equation, Lectures in Apll. Math., 23 (1986), 293-326. | MR | Zbl

[6] S. Klainerman, Remarks on the global Sobolev inequalities in the Minkovski space $\mathbb{R}^{n+1}$, Comm. Pure Appl. Math., 40 (1987), 111-117. | MR | Zbl

[7] R. Penrose, Conformal treatment of infinity in relativity, groups and topology, B. De Witt and C. De Witt (eds.), Gordon and Breach (1963). | MR | Zbl