Well-posedness for a class of nonlinear degenerate parabolic equations

Giuseppe Floridia

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arXiv · 1509.05510

Well-posedness for a class of nonlinear degenerate parabolic equations

Giuseppe Floridia

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Abstract

In this paper we obtain well-posedness for a class of semilinear weakly degenerate reaction-diffusion systems with Robin boundary conditions. This result is obtained through a Gagliardo-Nirenberg interpolation inequality and some embedding results for weighted Sobolev spaces.

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Giuseppe Floridia. 2015-09-18. Well-posedness for a class of nonlinear degenerate parabolic equations. https://arxiv.org/abs/1509.05510

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