Asymptotic profiles of solutions to viscous Hamilton-Jacobi equations

Details Asymptotic profiles of solutions to viscous Hamilton-Jacobi equations Asymptotic profiles of solutions to viscous Hamilton-Jacobi equations

2007-04-10

arxiv.org/abs/0704.1207v1

J. Math. Pures Appl 83 (12/08/2004) 1275-1308

Mathematics

Analysis of PDEs

Scientific paper

The large time behavior of solutions to Cauchy problem for viscous
Hamilton-Jacobi equation is classified. The large time asymptotics are given by
very singular self-similar solutions on one hand and by self-similar viscosity
solutions on the other hand

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