Time-dependent parabolic problems on non-cylindrical domains with inhomogeneous boundary conditions

DOI10.1007/PL00001372zbMath1001.35047OpenAlexW2018334996MaRDI QIDQ5954641

Günter Lumer, Roland Schnaubelt

Publication date: 15 December 2002

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/pl00001372

zbMATH Keywords

Dirichlet problembarrier condition

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Initial-boundary value problems for second-order parabolic equations (35K20) One-parameter semigroups and linear evolution equations (47D06)

Related Items (7)

Existence of Variational Solutions in Noncylindrical Domains ⋮ Parabolic equations in time-dependent domains ⋮ New regularity results for the heat equation in triangular domains ⋮ Evolutionary Problems in Non-Cylindrical Domains ⋮ Existence of solution to parabolic equations with mixed boundary condition on non-cylindrical domains ⋮ On a Second Order Linear Parabolic Equation with Variable Coefficients in a Non-Regular Domain of R³ ⋮ On the solvability of heat boundary value problems in Sobolev spaces

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