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An L (q) (L (p) )-Theory for Parabolic Pseudo-Differential Equations: Caldern-Zygmund Approach
- Author(s)
- Kim, Ildoo, Lim, Sungbin, Kim, Kyeong-Hun
- Issued Date
- 2016-10
- Citation
- POTENTIAL ANALYSIS, v.45, no.3, pp.463 - 483
- 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).
- Publisher
- SPRINGER
- ISSN
- 0926-2601
- Keyword (Author)
- Calderon-Zygmund approach, Parabolic Pseudo-differential equations, L-q(L-p)-estimate
- Keyword
- OPERATORS
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