A multi-dimension blow-up problem to a porous medium diffusion equation with special medium void |
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| Affiliation: | School of Mathematics and Statistics, Southwest University, Chongqing, 400715, China |
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| Abstract: | In this paper, we consider a multi-dimension porous medium equation with special void, a sufficient condition for the solution existing globally and two sufficient conditions for the solution blowing up in finite time are given. |
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| Keywords: | Porous medium equation Hardy–Sobolev inequality Global existence Decay of exponent Blow-up |
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