Well-posedness for a class of nonlinear degenerate parabolic equations

2015/09/18 by Giuseppe Floridia, Floridia, Giuseppe
Mathematics · #35K45 #35K61 #35K65 #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA) #Optimization and Control (math.OC) #Primary: 35K58 #Secondary: 35K55 #math.AP #math.FA #math.OC #msc:35K45 #msc:35K55 #msc:35K58 #msc:35K61 #msc:35K65

paper · pdf · doi:10.48550/arxiv.1509.05510

arxiv created 2015/09/18 · arxiv updated 2015/09/21

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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