Concerning the regularity of the anisotropic porous medium equation |
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Authors: | Eurica Henriques |
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Institution: | Departamento de Matemática, Edifício das Ciências Florestais, Quinta dos Prados, Apartado 1013, 5001-801 Vila Real, Portugal |
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Abstract: | We show that a locally bounded nonnegative weak solution of the anisotropic porous media equation is locally continuous. The proof is based on DiBenedetto's technique called intrinsic scaling; by choosing an appropriate geometry one can deduce energy and logarithmic estimates from which one can implement an iterative method to obtain the regularity result. |
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Keywords: | Anisotropic porous medium equation Degenerate/singular pdes Regularity theory Intrinsic scaling |
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