REGULARITY OF A PARABOLIC EQUATION SOLUTION IN A NONSMOOTH AND UNBOUNDED DOMAIN

DOI10.1017/S1446788708000268zbMath1169.35338OpenAlexW2110773889MaRDI QIDQ3520162

Boubaker-Khaled Sadallah

Publication date: 15 August 2008

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446788708000268

zbMATH Keywords

sectorial operator

Mathematics Subject Classification ID

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

Related Items (5)

On the resolution of the heat equation in unbounded non-regular domains of R³ ⋮ New regularity results for the heat equation in triangular domains ⋮ Existence and uniqueness results for parabolic equations with Robin type boundary conditions in a non-regular domain of \(\mathbb R^3\) ⋮ 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

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• On the resolution of the heat equation with discontinuous coefficients
• THE FIRST BOUNDARY VALUE PROBLEM FOR NONDIVERGENCE SECOND ORDER PARABOLIC EQUATIONS WITH DISCONTINUOUS COEFFICIENTS

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