- Current Issue - Ahead of Print Articles - All Issues - Search - Open Access - Information for Authors - Downloads - Guideline - Regulations ㆍPaper Submission ㆍPaper Reviewing ㆍPublication and Distribution - Code of Ethics - For Authors ㆍOnlilne Submission ㆍMy Manuscript - For Reviewers - For Editors
 $L_q(L_p)$-theory of parabolic PDE$\mathbf{s}$ with variable coefficients Bull. Korean Math. Soc. 2008 Vol. 45, No. 1, 169-190 Printed March 1, 2008 Kyeong-Hun Kim Korea University 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 MSC numbers : 35K10 Downloads: Full-text PDF