Nonstationary Venttsel problem with \(VMO_x\) leading coefficients

DOI10.1134/s1064562423700679zbMath1522.35300OpenAlexW4386288072MaRDI QIDQ6095193

Dian K. Palagachev, Alexander I. Nazarov, Darya E. Apushkinskaya, Lubomira G. Softova

Publication date: 7 September 2023

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562423700679

zbMATH Keywords

uniquenessa priori estimatessolvabilityVenttsel problemlinear second-order parabolic equationsclass \(VMO_x \)

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) A priori estimates in context of PDEs (35B45) PDEs with low regular coefficients and/or low regular data (35R05)

Related Items (1)

Nonstationary Venttsel problems with discontinuous data

Cites Work

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• On the \(L_p\)-solvability of higher-order parabolic and elliptic systems with BMO coefficients
• A survey of results on nonlinear Venttsel problems.
• On functions of bounded mean oscillation
• Venttsel Boundary Value Problems with Discontinuous Data
• W 2,p -Solvability of the Dirichlet Problem for Nondivergence Elliptic Equations with VMO Coefficients
• Functions of Vanishing Mean Oscillation

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