Global regularity in parabolic weighted Orlicz-Morrey spaces of solutions to parabolic equations with \(VMO\) coefficients

DOI10.7153/JMI-2024-18-47MaRDI QIDQ6618755

M. N. Omarova

Publication date: 15 October 2024

Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)

zbMATH Keywords

parabolic equationsCauchy-Dirichlet problemVMOcommutatorparabolic nonsingular integralparabolic Calderón-Zygmund integralsparabolic generalized weighted Orlicz-Morrey spaces

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) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Initial-boundary value problems for second-order parabolic equations (35K20) Function spaces arising in harmonic analysis (42B35) A priori estimates in context of PDEs (35B45) Weak solutions to PDEs (35D30)

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• Modern Fourier Analysis
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