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http://dx.doi.org/10.4134/JKMS.j140764

GLOBAL W1,2p ESTIMATES FOR NONDIVERGENCE PARABOLIC OPERATORS WITH POTENTIALS SATISFYING A REVERSE HÖLDER CONDITION  

Pan, Guixia (School of Public Health Anhui Medical University)
Tang, Lin (LMAM, School of Mathematical Sciences Peking University)
Publication Information
Journal of the Korean Mathematical Society / v.54, no.5, 2017 , pp. 1357-1377 More about this Journal
Abstract
In this article, we first give the $L^p$ boundedness of the operator $D^2L^{-1}$ with BMO coefficients and a potential V satisfying an appropriate reverse $H{\ddot{o}}lder$ condition, then obtain global $W^{1,2}_p$ estimates for the nondivergence parabolic operator L with VMO coefficients and a potential V satisfying an appropriate reverse $H{\ddot{o}}lder$ condition.
Keywords
parabolic operator; reverse $H{\ddot{o}}lder$ condition; VMO; BMO;
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