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

Authors
Kim, Kyeong-Hun
Issue Date
2월-2008
Publisher
KOREAN MATHEMATICAL SOC
Keywords
parabolic equations; L-q(L-p)-theory; Sobolev spaces with weights
Citation
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, v.45, no.1, pp.169 - 190
Indexed
SCIE
SCOPUS
KCI
Journal Title
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY
Volume
45
Number
1
Start Page
169
End Page
190
URI
https://scholar.korea.ac.kr/handle/2021.sw.korea/124204
DOI
10.4134/BKMS.2008.45.1.169
ISSN
1015-8634
Abstract
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.
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