Parabolic equations with VMO coefficients in spaces with mixed norms

Details Parabolic equations with VMO coefficients in spaces with mixed norms Parabolic equations with VMO coefficients in spaces with mixed norms

2006-10-31

arxiv.org/abs/math/0610955v1

Mathematics

Analysis of PDEs

36 pages

Scientific paper

An $L_{q}(L_{p})$-theory of divergence and non-divergence form parabolic
equations is presented. The main coefficients are supposed to belong to the
class $VMO_{x}$, which, in particular, contains all measurable functions
depending only on $t$. The method of proving simplifies the methods previously
used in the case $p=q$.

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