On global solutions to a defocusing semi-linear wave equation.

Gallagher, Isabelle, and Planchon, Fabrice. "On global solutions to a defocusing semi-linear wave equation.." Revista Matemática Iberoamericana 19.1 (2003): 161-177. <http://eudml.org/doc/39689>.

@article{Gallagher2003,
abstract = {We prove that the 3D cubic defocusing semi-linear wave equation is globally well-posed for data in the Sobolev space Hs where s &gt; 3/4. This result was obtained in [11] following Bourgain's method ([3]). We present here a different and somewhat simpler argument, inspired by previous work on the Navier-Stokes equations ([4, 7]).},
author = {Gallagher, Isabelle, Planchon, Fabrice},
journal = {Revista Matemática Iberoamericana},
keywords = {Ecuaciones en derivadas parciales no lineales; Ecuación de onda; Teorema de existencia; Espacios de Sobolev; Ecuaciones diferenciales hiperbólicas; global well posedness; three space dimensions; Cauchy problem; asymptotic behavior},
language = {eng},
number = {1},
pages = {161-177},
title = {On global solutions to a defocusing semi-linear wave equation.},
url = {http://eudml.org/doc/39689},
volume = {19},
year = {2003},
}

TY - JOUR
AU - Gallagher, Isabelle
AU - Planchon, Fabrice
TI - On global solutions to a defocusing semi-linear wave equation.
JO - Revista Matemática Iberoamericana
PY - 2003
VL - 19
IS - 1
SP - 161
EP - 177
AB - We prove that the 3D cubic defocusing semi-linear wave equation is globally well-posed for data in the Sobolev space Hs where s &gt; 3/4. This result was obtained in [11] following Bourgain's method ([3]). We present here a different and somewhat simpler argument, inspired by previous work on the Navier-Stokes equations ([4, 7]).
LA - eng
KW - Ecuaciones en derivadas parciales no lineales; Ecuación de onda; Teorema de existencia; Espacios de Sobolev; Ecuaciones diferenciales hiperbólicas; global well posedness; three space dimensions; Cauchy problem; asymptotic behavior
UR - http://eudml.org/doc/39689
ER -