Remark on the null-condition for the nonlinear wave equation

Nickolay Tzvetkov

Bollettino dell'Unione Matematica Italiana (2000)

  • Volume: 3-B, Issue: 1, page 135-145
  • ISSN: 0392-4041

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Tzvetkov, Nickolay. "Remark on the null-condition for the nonlinear wave equation." Bollettino dell'Unione Matematica Italiana 3-B.1 (2000): 135-145. <http://eudml.org/doc/195706>.

@article{Tzvetkov2000,
author = {Tzvetkov, Nickolay},
journal = {Bollettino dell'Unione Matematica Italiana},
keywords = {nonlinear wave equation; null condition; small initial data; decay estimate; Penrose map},
language = {eng},
month = {2},
number = {1},
pages = {135-145},
publisher = {Unione Matematica Italiana},
title = {Remark on the null-condition for the nonlinear wave equation},
url = {http://eudml.org/doc/195706},
volume = {3-B},
year = {2000},
}

TY - JOUR
AU - Tzvetkov, Nickolay
TI - Remark on the null-condition for the nonlinear wave equation
JO - Bollettino dell'Unione Matematica Italiana
DA - 2000/2//
PB - Unione Matematica Italiana
VL - 3-B
IS - 1
SP - 135
EP - 145
LA - eng
KW - nonlinear wave equation; null condition; small initial data; decay estimate; Penrose map
UR - http://eudml.org/doc/195706
ER -

References

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  1. CHOQUET-BRUHAT, Y.- DE WITT-MORETTE, CÉCILE, Analysis, Manifolds and Physics, Part 2, North-Holland (1989). Zbl0682.58002
  2. CHOQUET-BRUHAT, Y.- CHRISTODOULOU, D., 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. Zbl0499.35076MR654209
  3. CHRISTODOULOU, D., Global solutions of nonlinear hyperbolic equations for small initial data, Comm. Pure. Appl. Math., 39 (1986), 267-282. Zbl0612.35090MR820070
  4. GEORGIEV, V., Global solution of the system of wave and Klein-Gordon equations, Math. Z., 203 (1990), 683-698. Zbl0671.35052MR1044072
  5. KLAINERMAN, S., The null condition and global existence to nonlinear wave equation, Lectures in Apll. Math., 23 (1986), 293-326. Zbl0599.35105MR837683
  6. KLAINERMAN, S., Remarks on the global Sobolev inequalities in the Minkovski space R n + 1 , Comm. Pure Appl. Math., 40 (1987), 111-117. Zbl0686.46019MR865359
  7. PENROSE, R., Conformal treatment of infinity in relativity, groups and topology, B. De Witt and C. De Witt (eds.), Gordon and Breach (1963). Zbl0148.46403MR195547

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