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An L (q) (L (p) )-Theory for Parabolic Pseudo-Differential Equations: Caldern-Zygmund Approach
- Authors
- Kim, Ildoo; Lim, Sungbin; Kim, Kyeong-Hun
- Issue Date
- 10월-2016
- Publisher
- SPRINGER
- Keywords
- Calderon-Zygmund approach; Parabolic Pseudo-differential equations; L-q(L-p)-estimate
- Citation
- POTENTIAL ANALYSIS, v.45, no.3, pp.463 - 483
- Indexed
- SCIE
SCOPUS
- Journal Title
- POTENTIAL ANALYSIS
- Volume
- 45
- Number
- 3
- Start Page
- 463
- End Page
- 483
- ISSN
- 0926-2601
- Abstract
- In this paper we present a Caldern-Zygmund approach for a large class of parabolic equations with pseudo-differential operators of arbitrary order . It is assumed that (t) is merely measurable with respect to the time variable. The unique solvability of the equation are obtained for any lambda > 0 and lambda > 0 and p,q is an element of(1,infinity).
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