Extinction and decay estimates of solutions for a polytropic filtration equation with the nonlocal source and interior absorption |
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Authors: | Pan Zheng Chunlai Mu |
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Institution: | College of Mathematics and Statistics, Chongqing University, , Chongqing 401331, China |
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Abstract: | This paper deals with the extinction properties of solutions for the homogeneous Dirichlet boundary value problem with the nonlocal source and interior absorption where m,λ,k,q > 0, 0 < m(p ? 1) < 1, r ≤ 1, and . By using Lp‐integral norm estimate method, we obtain the sufficient conditions of extinction solutions. Moreover, we also give the precise decay estimates of the extinction solutions. Copyright © 2012 John Wiley & Sons, Ltd. |
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Keywords: | extinction polytropic filtration equation nonlocal source decay estimate |
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