A remark on the blowup of solutions to the Laplace equations with nonlinear dynamical boundary conditions

DOI10.1155/2010/203248zbMath1207.35109OpenAlexW2143781700WikidataQ59253363 ScholiaQ59253363MaRDI QIDQ1957493

Hongwei Zhang, Qingying Hu

Publication date: 27 September 2010

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/227022

zbMATH Keywords

blowupLaplace equationssemilinear dynamical boundary conditions

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Blow-up in context of PDEs (35B44)

Cites Work

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• Uniform stabilization of the damped Cauchy--Ventcel problem with variable coefficients and dynamic boundary conditions
• Blow-up of continuous and semidiscrete solutions to elliptic equations with semilinear dynamical boundary conditions of parabolic type
• Blow up for some quasilinear equations with dynamical boundary conditions of parabolic type
• Blow-up for some equations with semilinear dynamical boundary conditions of parabolic and hyperbolic type
• Nonlinear elliptic systems with dynamic boundary conditions
• Semilinear wave equation on manifolds
• Global existence for elliptic equations with dynamic boundary conditions
• Existence and asymptotic stability for evolution problems on manifolds with damping and source terms.
• On the blow up of finite difference solutions to the heat-diffusion equation with semilinear dynamical boundary conditions
• Uniform stabilization of the wave equation on compact manifolds and locally distributed damping -- a sharp result
• On the linear theory of gravity waves: the theorem of existence and uniqueness
• Blow-up theorems for nonlinear wave equations
• Nonexistence of Global Solutions to an Elliptic Equation with a Dynamical Boundary Condition
• Asymptotic stability of the wave equation on compact surfaces and locally distributed damping-A sharp result
• Evolution equations with dynamic boundary conditions
• Periodic problem for a nonlinear-damped wave equation on the boundary
• ON THE LAPLACE EQUATION WITH NON-LINEAR DYNAMICAL BOUNDARY CONDITIONS
• On solvability of solutions of degenerate nonlinear equations on manifolds

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