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arXiv · 0705.3808

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

Doyoon Kim
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Abstract

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.

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Doyoon Kim. 2007-05-25. Parabolic equations with measurable coefficients in $L_p$-spaces with mixed norms. https://arxiv.org/abs/0705.3808

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