Solutions with Dead Cores for a Parabolic P-Laplacian Equation

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DOI: 10.4236/apm.2011.15050    4,648 Downloads   9,124 Views  

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ABSTRACT

We study the solutions with dead cores and the decay estimates for a parabolic p-Laplacian equation with absorption by sub- and supersolution method. Special attention is given to the case where the solution of the steady-state problem vanishes in an interior region.

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Z. Zhang and Y. Li, "Solutions with Dead Cores for a Parabolic P-Laplacian Equation," Advances in Pure Mathematics, Vol. 1 No. 5, 2011, pp. 280-283. doi: 10.4236/apm.2011.15050.

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