L-q(L-p)-theory of parabolic pdes with variable coefficients

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초록

Second-order parabolic equations with variable coefficients are considered on 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.

키워드

parabolic equationsL-q(L-p)-theorySobolev spaces with weightsWEIGHTED SOBOLEV SPACESEQUATIONS
제목
L-q(L-p)-theory of parabolic pdes with variable coefficients
저자
Kim, Kyeong-Hun
DOI
10.4134/BKMS.2008.45.1.169
발행일
2008-02
유형
Article
저널명
대한수학회보
45
1
페이지
169 ~ 190