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arxiv: 1509.05510 · v1 · pith:PYBBRVMNnew · submitted 2015-09-18 · 🧮 math.AP · math.FA· math.OC

Well-posedness for a class of nonlinear degenerate parabolic equations

classification 🧮 math.AP math.FAmath.OC
keywords classdegeneratewell-posednessboundaryconditionsembeddingequationsgagliardo-nirenberg
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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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