Maximal Viscosity Solutions of the Modified Porous Medium Equation
نویسندگان
چکیده
We construct a theory for maximal viscosity solutions of the Cauchy problem for the modiied porous medium equation u t + ju t j = (u m), with 2 (?1; 1) and m > 1. We investigate the existence, uniqueness, nite propagation and optimal regularity of these solutions. As a second main theme we prove that the asymptotic behaviour is given by a certain family of self-similar solutions of the so-called second kind with anomalous similarity exponents.
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