Radial equivalence for the two basic nonlinear degenerate diffusion equations
نویسندگان
چکیده
In this paper we prove that there exists an explicit correspondence between the radially symmetric solutions of two well-known models of nonlinear diffusion, the porous medium equation and the p-Laplacian equation. We establish exact correspondence formulas between these solutions. We also study in detail the application of the results in the important case of self-similar solutions. In particular, we derive the existence of new self-similar solutions for the evolution p-Laplacian equation. AMS Subject Classification: 35C99, 35K65, 35R35.
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