On parabolic equations with mixed Dirichlet-Robin type boundary conditions in a non-rectangular domain

DOI10.1007/S00009-015-0616-1zbMath1344.35065OpenAlexW1040068673MaRDI QIDQ305828

Arezki Kheloufi

Publication date: 31 August 2016

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-015-0616-1

zbMATH Keywords

parabolic equationsanisotropic Sobolev spacesnon-rectangular domains

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Heat equation (35K05)

Related Items (4)

On the resolution of the heat equation in unbounded non-regular domains of R³ ⋮ On some boundary value problems for the heat equation in a non-regular type of a prism of \(\mathbb{R}^{N+1}\) ⋮ Global in Space Regularity Results for the Heat Equation with Robin-Neumann Type Boundary Conditions in Time-varying Domains ⋮ Global in Time Results for a Parabolic Equation Solution in Non-rectangular Domains

Cites Work

• Initial boundary value problems for second order parabolic systems in cylinders with polyhedral base
• On the regularity of the heat equation solution in non-cylindrical domains: two approaches
• Existence and uniqueness results for parabolic equations with Robin type boundary conditions in a non-regular domain of \(\mathbb R^3\)
• Regularity of solutions of initial-boundary value problems for parabolic equations in domains with conical points
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