2011 | OriginalPaper | Chapter
On Divergence Form Second-order PDEs with Growing Coefficients in W 1 p Spaces without Weights
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We consider second-order divergence form uniformly parabolic and elliptic PDEs with bounded and
VMOx
leading coefficients and possibly linearly growing lower-order coefficients. We look for solutions which are summable to the
p
th power with respect to the usual Lebesgue measure along with their first derivatives with respect to the spatial variables.