Tzvetkov, Nickolay:
Remark on the null-condition for the nonlinear wave equation
Bollettino dell'Unione Matematica Italiana Serie 8 3-B (2000), fasc. n.1, p. 135-145, Unione Matematica Italiana (English)
pdf (248 Kb), djvu (128 Kb). | MR1755705 | Zbl 0949.35090
Sunto
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.
Referenze Bibliografiche
[1]
Y. CHOQUET-BRUHAT-
CÉCILE DE WITT-MORETTE,
Analysis, Manifolds and Physics, Part 2,
North-Holland (
1989). |
Zbl 0682.58002[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 654209 |
Zbl 0499.35076[3]
D. CHRISTODOULOU,
Global solutions of nonlinear hyperbolic equations for small initial data,
Comm. Pure. Appl. Math.,
39 (
1986), 267-282. |
MR 820070 |
Zbl 0612.35090[4]
V. GEORGIEV,
Global solution of the system of wave and Klein-Gordon equations,
Math. Z.,
203 (
1990), 683-698. |
MR 1044072 |
Zbl 0671.35052[5]
S. KLAINERMAN,
The null condition and global existence to nonlinear wave equation,
Lectures in Apll. Math.,
23 (
1986), 293-326. |
MR 837683 |
Zbl 0599.35105[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 865359 |
Zbl 0686.46019[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 195547 |
Zbl 0148.46403