Global existence of solutions for the heat equation with a nonlinear boundary condition

DOI10.1016/J.JMAA.2010.02.007zbMath1192.35105OpenAlexW2071024434MaRDI QIDQ972486

Tatsuki Kawakami

Publication date: 19 May 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.02.007

zbMATH Keywords

small initial datahalfspace

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60)

Related Items (4)

Heat equation with an exponential nonlinear boundary condition in the half space ⋮ A numerical study of parabolic problems with nonlinear boundary conditions ⋮ Global solutions of the heat equation with a nonlinear boundary condition ⋮ Heat equation with a nonlinear boundary condition and uniformly local \(L^r\) spaces

Cites Work

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• Asymptotic behavior of solutions for some semilinear heat equations in \(\mathbb R^N\)
• Asymptotic behavior of solutions of a semilinear heat equation with subcritical nonlinearity
• On critical Fujita exponents for heat equations with nonlinear flux conditions on the boundary
• On the Fujita exponent for a semilinear heat equation with a potential term
• Bounds of global solutions of parabolic problems with nonlinear boundary conditions
• The decay of the solutions for the heat equation with a potential

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