\(L_p\)-regularity for the Cauchy-Dirichlet problem for parabolic equations in convex polyhedral domains

DOI10.1007/s40306-016-0172-1zbMath1356.35070OpenAlexW2328463010MaRDI QIDQ505598

Do Van Loi, Nguyen Thanh Anh, Vu Trong Luong

Publication date: 26 January 2017

Published in: Acta Mathematica Vietnamica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40306-016-0172-1

zbMATH Keywords

divergence form equationsweighted \(L_p\)-Sobolev spaces

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Initial-boundary value problems for second-order parabolic equations (35K20) Weak solutions to PDEs (35D30)

Related Items (2)

Regularity in Sobolev and Besov spaces for parabolic problems on domains of polyhedral type ⋮ Arbitrary high-order unconditionally stable methods for reaction-diffusion equations with inhomogeneous boundary condition via deferred correction

Cites Work

• Regularity of solutions of initial-boundary value problems for parabolic equations in domains with conical points
• Parabolic equations with BMO coefficients in Lipschitz domains
• W_p^1,2solvability for the cauchy-dirichlet problem for parabolic equations with vmo coefficients
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