Mathematics – Analysis of PDEs
Scientific paper
2007-05-25
Mathematics
Analysis of PDEs
Scientific paper
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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