In this work we are interested in the study of a class of anisotropic porous medium-type equations, for which we derive several estimates, namely two Harnack-type inequalities; and, when considering the associated Dirichlet problem, we determine the finite time of extinction and thereby present a decay rate of extinction.
Ciani, S., Henriques, E. (2025). Harnack-type estimates and extinction in finite time for a class of anisotropic porous medium type equations. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 64(4), 1-35 [10.1007/s00526-025-02979-7].
Harnack-type estimates and extinction in finite time for a class of anisotropic porous medium type equations
Ciani, Simone;
2025
Abstract
In this work we are interested in the study of a class of anisotropic porous medium-type equations, for which we derive several estimates, namely two Harnack-type inequalities; and, when considering the associated Dirichlet problem, we determine the finite time of extinction and thereby present a decay rate of extinction.File in questo prodotto:
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