Extinction and decay estimates of solutions for a porous medium equation with nonlocal source and strong absorption
1 Department of Mathematics, Pusan National University, Busan, 609-735, Republic of Korea
2 School of Mathematical Sciences, Ocean University of China, Qingdao, 266100, P.R. China
3 Department of Mathematics, Changwon National University, Changwon, 641-773, Republic of Korea
Boundary Value Problems 2013, 2013:24 doi:10.1186/1687-2770-2013-24Published: 5 March 2013
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 terms. We obtain some sufficient conditions for the extinction of nonnegative nontrivial weak solutions and the corresponding decay estimates which depend on the initial data, coefficients, and domains.