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arxiv: 0708.0756 · v2 · submitted 2007-08-06 · 🧮 math.AP · math.CA

Singular solutions of some nonlinear parabolic equations with spatially inhomogeneous absorption

classification 🧮 math.AP math.CA
keywords solutionsabsorptionequationsnonlinearparabolicbehaviourbladesclass
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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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