Initial and Boundary Blow-U Problem for $$$$-Lalacian Parabolic Equation with General Absortion |
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| Authors: | Mingxin Wang Peter Y. H. Pang Yujuan Chen |
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| Affiliation: | 1.Natural Science Research Center, Harbin Institute of Technology,Harbin,People’s Republic of China;2.Department of Mathematics,National University of Singapore,Singapore,Republic of Singapore;3.Department of Mathematics,Nantong University,Nantong,People’s Republic of China |
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| Abstract: | In this article, we investigate the initial and boundary blow-up problem for the (p)-Laplacian parabolic equation (u_t-Delta _p u=-b(x,t)f(u)) over a smooth bounded domain (Omega ) of (mathbb {R}^N) with (Nge 2), where (Delta _pu=mathrm{div}(|nabla u|^{p-2}nabla u)) with (p>1), and (f(u)) is a function of regular variation at infinity. We study the existence and uniqueness of positive solutions, and their asymptotic behaviors near the parabolic boundary. |
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