Extinction and Decay Estimates of Solutions for a Class of Porous Medium Equations
نویسندگان
چکیده
Recommended by Michel Chipot The extinction phenomenon of solutions for the homogeneous Dirichlet boundary value problem of the porous medium equation u t = Δu m + λ|u| p−1 u − βu,0 < m < 1, is studied. Sufficient conditions about the extinction and decay estimates of solutions are obtained by using L p-integral model estimate methods and two crucial lemmas on differential inequality .
منابع مشابه
Extinction and decay estimates of solutions for a porous medium equation with nonlocal source and strong absorption
*Correspondence: [email protected] 2School of Mathematical Sciences, Ocean University of China, Qingdao, 266100, P.R. China Full list of author information is available at the end of the article Abstract In this paper, we investigate extinction properties of the solutions for the initial Dirichlet boundary value problem of a porous medium equation with nonlocal source and strong absorption...
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