Singular solutions of some nonlinear parabolic equations with spatially inhomogeneous absorption

Andrey Shishkov; Laurent Veron

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arXiv · 0708.0756

Singular solutions of some nonlinear parabolic equations with spatially inhomogeneous absorption

Andrey Shishkov·Laurent Veron

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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).

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Andrey Shishkov, Laurent Veron. 2007-08-23. Singular solutions of some nonlinear parabolic equations with spatially inhomogeneous absorption. https://arxiv.org/abs/0708.0756

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