Global solvability for the heat equation with boundary flux governed by nonlinear memory
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Publication:3104444
DOI10.1090/S0033-569X-2011-01238-XzbMath1229.35021MaRDI QIDQ3104444
Keng Deng, Zhihua Dong, Jeffrey R. Anderson
Publication date: 19 December 2011
Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)
Initial-boundary value problems for second-order parabolic equations (35K20) Heat equation (35K05) Blow-up in context of PDEs (35B44)
Related Items (10)
Partial integrodifferential equations with critical nonlinearities ⋮ Global solvability for a diffusion model with absorption and memory-driven flux at the boundary ⋮ Solvability of nonlinear diffusion models with flux at the boundary driven by nonmonotone local and memory interactions ⋮ Life span bounds for reaction-diffusion equation with a space-time integral source term ⋮ Global solvability for the porous medium equation with boundary flux governed by nonlinear memory ⋮ Global existence of solutions of a semilinear heat equation with nonlinear memory condition ⋮ Blow-up rate for the heat equation with a memory boundary condition ⋮ Global behavior of solutions to the fast diffusion equation with boundary flux governed by memory ⋮ A fast diffusion model with memory at the boundary: global solvability in the critical case ⋮ Singularity analysis for a semilinear integro-differential equation with nonlinear memory boundary
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