Global existence for the heat equation with nonlinear dynamical boundary conditions

DOI10.1017/S0308210500003838zbMath1065.35153OpenAlexW2066357517MaRDI QIDQ4656543

Enzo Vitillaro

Publication date: 11 March 2005

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500003838

zbMATH Keywords

mixed boundary conditions

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60)

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Blow-up problems for a parabolic equation coupled with superlinear source and local linear boundary dissipation ⋮ Parabolic problems with dynamical boundary conditions: eigenvalue expansions and blow up ⋮ Solvability of the heat equation on a half-space with a dynamical boundary condition and unbounded initial data ⋮ Finite time blow-up and global existence of solutions for semilinear parabolic equations with nonlinear dynamical boundary condition ⋮ Heat Equation with Dynamical Boundary Conditions of Reactive Type ⋮ The large diffusion limit for the heat equation with a dynamical boundary condition ⋮ Existence and uniqueness of the solutions for some initial-boundary value problems with the fractional dynamic boundary condition ⋮ Stability estimates for parabolic problems with Wentzell boundary conditions ⋮ Stability of parabolic problems with nonlinear Wentzell boundary conditions

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