Quenching phenomena for a non-local diffusion equation with a singular absorption

DOI10.1007/s11856-011-0072-yzbMath1273.35043OpenAlexW2040223941MaRDI QIDQ1758915

Raúl Ferreira

Publication date: 19 November 2012

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-011-0072-y

zbMATH Keywords

comparison principlequenching ratequenching setnon-local versus local diffusionquenching versus global existence

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Blow-up in context of PDEs (35B44) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61)

Related Items (2)

BLOW-UP PROBLEMS FOR GENERALIZED FUJITA-TYPE EQUATIONS ON GRAPHS ⋮ Quenching of the solution to the discrete heat equation with logarithmic type sources on graphs

Cites Work

• The Dirichlet problem for some nonlocal diffusion equations.
• Decay estimates for nonlocal problems via energy methods
• Nonlocal diffusion problems that approximate the heat equation with Dirichlet boundary conditions
• Boundary fluxes for nonlocal diffusion
• Blow-up for a non-local diffusion problem with Neumann boundary conditions and a reaction term
• On solutions of initial -boundary problem for \(u_t=u_{xx}+1/(1-u)\)
• Traveling waves in a convolution model for phase transitions
• A nonlocal diffusion equation whose solutions develop a free boundary
• Bifurcation from simple eigenvalues
• Asymptotic behavior for nonlocal diffusion equations
• Existence and Uniqueness of Solutions to a Nonlocal Equation with Monostable Nonlinearity
• On the quenching rate estimate
• Quenching on the boundary
• Uniqueness of travelling waves for nonlocal monostable equations
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