arXiv:0705.3808 Abstract | arXiv Analytics

arXiv:0705.3808 [math.AP]Abstract References Reviews Resources

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

Published 2007-05-25Version 1

The unique solvability of parabolic equations in Sobolev spaces with mixed norms is presented. The second order coefficients (except $a^{11}$) are assumed to be only measurable in time and one spatial variable, and VMO in the other spatial variables. The coefficient $a^{11}$ is measurable in one spatial variable and VMO in the other variables.

Categories: math.AP

Subjects: 35K10, 35R05, 35A05

Keywords: parabolic equations, mixed norms, measurable coefficients, spatial variable, second order coefficients

Related articles: Most relevant | Search more

arXiv:math/0604124 [math.AP] (Published 2006-04-06)

Parabolic equations with measurable coefficients

Doyoon Kim, N. V. Krylov

arXiv:1210.6359 [math.AP] (Published 2012-10-23)

Weighted $L^p$-estimates for elliptic equations with measurable coefficients in nonsmooth domains

Sun-Sig Byun, Dian K. Palagachev

arXiv:0804.4519 [math.AP] (Published 2008-04-29)

Cordes conditions and some alternatives for parabolic equations and discontinuous diffusion