Singular solutions of some nonlinear parabolic equations with spatially inhomogeneous absorption

Details Singular solutions of some nonlinear parabolic equations with spatially inhomogeneous absorption Singular solutions of some nonlinear parabolic equations with spatially inhomogeneous absorption

2007-08-06

arxiv.org/abs/0708.0756v2

Mathematics

Analysis of PDEs

29 pages

Scientific paper

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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