On space-time decay properties of solutions to hyperbolic-elliptic coupled systems
Iguchi, Tatsuo ; Kawashima, Shuichi
Hiroshima Math. J., Tome 32 (2002) no. 3, p. 229-308 / Harvested from Project Euclid
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/