We consider the asymptotic behavior of solutions to the initial value
problem for a certain class of hyperbolic-elliptic coupled systems. It will be proved that
the solution is time asymptotically approximated by the superposition of diffusion waves
constructed in terms of the self-similar solutions of generalized Burgers equations. We
will give space-time decay estimates for the residual term through a pointwise estimate
for the Green’s function of the linearized system.
Publié le : 2002-07-14
Classification:
35B40,
35L70,
35M20,
35Q53
@article{1151007559,
author = {Iguchi, Tatsuo and Kawashima, Shuichi},
title = {On space-time decay properties of solutions to hyperbolic-elliptic coupled systems},
journal = {Hiroshima Math. J.},
volume = {32},
number = {3},
year = {2002},
pages = { 229-308},
language = {en},
url = {http://dml.mathdoc.fr/item/1151007559}
}
Iguchi, Tatsuo; Kawashima, Shuichi. On space-time decay properties of solutions to hyperbolic-elliptic coupled systems. Hiroshima Math. J., Tome 32 (2002) no. 3, pp. 229-308. http://gdmltest.u-ga.fr/item/1151007559/