Large time behavior of solutions of a semilinear elliptic equation with a dynamical boundary condition

zbMath1281.35051MaRDI QIDQ1940052

Kazuhiro Ishige, Tatsuki Kawakami, Marek Fila

Publication date: 5 March 2013

Published in: Advances in Differential Equations (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ade/1355867482

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

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Minimal solutions of a semilinear elliptic equation with a dynamical boundary condition ⋮ An exterior nonlinear elliptic problem with a dynamical boundary condition ⋮ Positive solutions of a semilinear elliptic equation with singular Dirichlet boundary data ⋮ Solvability of the heat equation on a half-space with a dynamical boundary condition and unbounded initial data ⋮ A deterministic game interpretation for fully nonlinear parabolic equations with dynamic boundary conditions ⋮ The large diffusion limit for the heat equation with a dynamical boundary condition ⋮ On a dynamic boundary condition for singular degenerate parabolic equations in a half space ⋮ Critical exponent for the global existence of solutions to a semilinear heat equation with degenerate coefficients ⋮ Existence of positive solutions of a semilinear elliptic equation with a dynamical boundary condition ⋮ The Phragmèn-Lindelöf Theorem for a Fully Nonlinear Elliptic Problem with a Dynamical Boundary Condition

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