On divergence form SPDEs with growing coefficients in $W^{1}_{2}$ spaces without weights

Details On divergence form SPDEs with growing coefficients in $W^{1}_{2}$ spaces without weights On divergence form SPDEs with growing coefficients in $W^{1}_{2}$ spaces without weights

2009-07-14

arxiv.org/abs/0907.2467v2

Mathematics

Probability

25 pages, a few inconsistencies corrected

Scientific paper

We consider divergence form uniformly parabolic SPDEs with bounded and
measurable leading coefficients and possibly growing lower-order coefficients
in the deterministic part of the equations. We look for solutions which are
summable to the second power with respect to the usual Lebesgue measure along
with their first derivatives with respect to the spatial variable.

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