Initial boundary value problems for second order parabolic systems in cylinders with polyhedral base

DOI10.1186/1687-2770-2011-56zbMath1273.35151OpenAlexW2086038257WikidataQ59269590 ScholiaQ59269590MaRDI QIDQ359855

Vu Trong Luong, Do Van Loi

Publication date: 23 August 2013

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2011-56

zbMATH Keywords

regularityDirichlet boundary conditionswell posedness

Mathematics Subject Classification ID

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

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On parabolic equations with mixed Dirichlet-Robin type boundary conditions in a non-rectangular domain ⋮ On some boundary value problems for the heat equation in a non-regular type of a prism of \(\mathbb{R}^{N+1}\)

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
• Improving the Rate of Convergence of High-Order Finite Elements on Polyhedra I:A PrioriEstimates