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The Cauchy Problem of the Porous Medium Equation with Absorption |
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| Authors: | Zhao Junning Liu Huizhao |
| Abstract: | In this paper we study the existence of solution for the following Cauchy problem {u_t = Δu^m - u^p u(x,0) = u_0(x) We show how the growth condition of initial trace is determined by the absorption. |
| Keywords: | Existence of solution Cauchy problem porous media equation |
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