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http://dx.doi.org/10.4134/BKMS.2008.45.1.169

Lq(Lp) -THEORY OF PARABOLIC PDEs WITH VARIABLE COEFFICIENTS  

Kim, Kyeong-Hun (DEPARTMENT OF MATHEMATICS KOREA UNIVERSITY)
Publication Information
Bulletin of the Korean Mathematical Society / v.45, no.1, 2008 , pp. 169-190 More about this Journal
Abstract
Second-order parabolic equations with variable coefficients are considered on $\mathbb{R}^d$ and $C^1$ domains. Existence and uniqueness results are given in $L_q(L_p)$-spaces, where it is allowed for the powers of summability with respect to space and time variables to be different.
Keywords
parabolic equations$L_q(L_p)$-theory; Sobolev spaces with weights;
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