NONDIVERGENCE PARABOLIC EQUATIONS IN WEIGHTED VARIABLE EXPONENT SPACES

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We prove the global Calderon-Zygmund estimates for second order parabolic equations in nondivergence form in weighted variable exponent Lebesgue spaces. We assume that the associated variable exponent is log-Holder continuous, the weight is of a certain Muckenhoupt class with respect to the variable exponent, the coefficients of the equation are the functions of small bonded mean oscillation, and the underlying domain is a C-1,C-1-domain.
Publisher
AMER MATHEMATICAL SOC
Issue Date
2018-04
Language
English
Article Type
Article
Keywords

ELLIPTIC-EQUATIONS; LEBESGUE SPACES; OPERATORS; COEFFICIENTS; REGULARITY; L-P(CENTER-DOT); FUNCTIONALS; SYSTEMS; GROWTH; FORM

Citation

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, v.370, no.4, pp.2263 - 2298

ISSN
0002-9947
DOI
10.1090/tran/7352
URI
http://hdl.handle.net/10203/240192
Appears in Collection
RIMS Journal Papers
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