A semilinear equation with generalized Wentzell boundary condition

DOI10.1016/j.na.2010.06.068zbMath1207.35191OpenAlexW1967850299MaRDI QIDQ708648

Zhenbu Zhang, Tor A. Kwembe

Publication date: 14 October 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.06.068

zbMATH Keywords

strong solutionmild solutionsemilinear equationlocal well-posednessblow-up time

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58)

Related Items (3)

On a class of degenerate parabolic equations with dynamic boundary conditions ⋮ Structured populations with diffusion and Feller conditions ⋮ A semilinear parabolic system with generalized Wentzell boundary condition

Cites Work

• The heat equation with nonlinear general Wentzell boundary condition
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• The diffusion satisfying Wentzell's boundary condition and the Markov process on the boundary, I
• The diffusion satisfying Wentzell's boundary condition and the Markov process on the boundary, II
• Remarks on Blow Up for a Nonlinear Parabolic Equation with a Gradient Term
• $C_0$-semigroups generated by second order differential operators with general Wentzell boundary conditions
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