A nonlocal nonlinear diffusion equation in higher space dimensions

DOI10.1016/j.jmaa.2008.02.067zbMath1145.35009OpenAlexW2046383168MaRDI QIDQ929537

Mauricio Bogoya

Publication date: 17 June 2008

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.2008.02.067

zbMATH Keywords

existenceuniquenessCauchy problemcomparison principleDirichlet boundary conditionsNeumann boundary conditionsnonlocal diffusion

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Integro-partial differential equations (45K05) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs with randomness, stochastic partial differential equations (35R60) Free boundary problems for PDEs (35R35)

Related Items (6)

On non-local reaction-diffusion system in a bounded domain ⋮ Eigenvalues of Hessenberg Toeplitz matrices generated by symbols with several singularities ⋮ Analysis and control of physiologically structured models with nonlocal diffusion ⋮ Systems with local and nonlocal diffusions, mixed boundary conditions, and reaction terms ⋮ Blowup analysis for a nonlocal diffusion equation with reaction and absorption ⋮ Blowing up boundary conditions for a nonlocal nonlinear diffusion equation in several space dimensions

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