Singular solutions of some nonlinear parabolic equations with spatially inhomogeneous absorption
Analysis of PDEs
2007-08-23 v2 Classical Analysis and ODEs
Abstract
We study the limit behaviour of solutions of a class of solutions of nonlinear parabolic equations with a degenerate strong absorption. We prove that two types of phenomena can occur: the pointwise singularity or the formation of razor blades (or persistent singularities).
Keywords
Cite
@article{arxiv.0708.0756,
title = {Singular solutions of some nonlinear parabolic equations with spatially inhomogeneous absorption},
author = {Andrey Shishkov and Laurent Veron},
journal= {arXiv preprint arXiv:0708.0756},
year = {2007}
}
Comments
29 pages