Mathematics – Analysis of PDEs
Scientific paper
2006-04-06
Mathematics
Analysis of PDEs
19 pages
Scientific paper
We investigate the unique solvability of second order parabolic equations in
non-divergence form in $W_p^{1,2}((0,T) \times \bR^d)$, $p \ge 2$. The leading
coefficients are only measurable in either one spatial variable or time and one
spatial variable. In addition, they are VMO (vanishing mean oscillation) with
respect to the remaining variables.
Kim Doyoon
Krylov N. V.
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