We consider the Cauchy problem for a system of semilinear
wave equations with multiple propagation speeds in three space
dimensions. We obtain the sharp lower bound for the lifespan
of radially symmetric solutions to a class of these systems.
We also show global existence of radially symmetric solutions
to another class of systems with small initial data.
Publié le : 2008-09-15
Classification:
35L70,
35L05,
35L15,
35L55
@article{1221656647,
author = {Katayama, Soichiro},
title = {Lifespan for radially symmetric solutions to systems of semilinear wave equations with multiple speeds},
journal = {Osaka J. Math.},
volume = {45},
number = {1},
year = {2008},
pages = { 691-717},
language = {en},
url = {http://dml.mathdoc.fr/item/1221656647}
}
Katayama, Soichiro. Lifespan for radially symmetric solutions to systems of semilinear wave equations with multiple speeds. Osaka J. Math., Tome 45 (2008) no. 1, pp. 691-717. http://gdmltest.u-ga.fr/item/1221656647/