Remarks on a semilinear heat equation with integral boundary conditions

DOI10.1016/j.na.2006.06.012zbMath1113.35102OpenAlexW2056467209MaRDI QIDQ880312

Yu Huang, Dao-Qing Dai

Publication date: 15 May 2007

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.2006.06.012

zbMATH Keywords

Dirichlet problemsemigroupwell-posednessparabolic equationVolterra integral equationnonlocal boundary conditions

Mathematics Subject Classification ID

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

Related Items (6)

A family of singular ordinary differential equations of the third order with an integral boundary condition ⋮ Galerkin method applied to a parabolic evolution problem with nonlocal boundary conditions ⋮ Nonlocal conditions for lower semicontinuous parabolic inclusions ⋮ Existence and uniqueness of generalized solutions to a telegraph equation with an integral boundary condition via Galerkin's method ⋮ An integro-differential parabolic problem with an integral boundary condition ⋮ Approximate solution for a variable-coefficient semilinear heat equation with nonlocal boundary conditions

Cites Work

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• Generalized quasilinearization method for reaction-diffusion equations under nonlinear and nonlocal flux conditions
• On a mixed problem with integral conditions for one-dimensional parabolic equation
• A Galerkin Procedure for the Diffusion Equation Subject to the Specification of Mass
• A parabolic equation with nonlocal boundary conditions arising from electrochemistry
• Equivalent Norms for Sobolev Spaces

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