Parabolic equations with measurable coefficients in L_p-spaces with mixed norms

2007/05/25 by Doyoon Kim, Kim, Doyoon · 1 citation
Mathematics · #35A05 #35K10 #35R05 #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP #msc:35A05 #msc:35K10 #msc:35R05

paper · pdf · doi:10.48550/arxiv.0705.3808

arxiv created 2007/05/25 · arxiv updated 2009/12/01

Abstract

The unique solvability of parabolic equations in Sobolev spaces with mixed norms is presented. The second order coefficients (except a¹¹) are assumed to be only measurable in time and one spatial variable, and VMO in the other spatial variables. The coefficient a¹¹ is measurable in one spatial variable and VMO in the other variables.

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• Constructive Approximation in Mixed norm Spaces

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