We prove the uniqueness of the very singular solution to a Hamilton-Jacobi equation with absorption. We mention thatthe very singular solutions play an important role in the description of the large time behavior of the solutions.
Publié le : 2004-07-05
Classification:
Very singular solutions,
Hamilton-Jacobi equations,
Uniqueness,
MSC: 35K55, 35A05, 35K15,
[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]
@article{hal-00140898,
author = {Benachour, Said and Koch, Herbert and Lauren\c cot, Philippe},
title = {Very singular solutions to a nonlinear parabolic equation with absorptionII- Uniqueness},
journal = {HAL},
volume = {2004},
number = {0},
year = {2004},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-00140898}
}
Benachour, Said; Koch, Herbert; Laurençot, Philippe. Very singular solutions to a nonlinear parabolic equation with absorptionII- Uniqueness. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00140898/