\(W^{m,p(t,x)}\)-estimate for a class of higher-order parabolic equations with partially BMO coefficients

DOI10.4208/jpde.v37.n2.6MaRDI QIDQ6666753

Shuai Hao, Shen-Zhou Zheng, Hong Tian

Publication date: 20 January 2025

Published in: Journal of Partial Differential Equations (Search for Journal in Brave)

zbMATH Keywords

log-Hölder continuityReifenberg flat domainsSobolev spaces with variable exponentsa higher-order parabolic equationpartially BMO quasi-norm

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) PDEs with low regular coefficients and/or low regular data (35R05) Higher-order parabolic equations (35K25)

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