Critical exponent for nonlocal diffusion equations with Dirichlet boundary condition
From MaRDI portal
Publication:646069
DOI10.1016/J.MCM.2011.02.002zbMath1228.35039OpenAlexW2080089007MaRDI QIDQ646069
Publication date: 11 November 2011
Published in: Mathematical and Computer Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.mcm.2011.02.002
Integro-partial differential equations (45K05) Critical exponents in context of PDEs (35B33) Blow-up in context of PDEs (35B44) Integro-partial differential equations (35R09) Initial-boundary value problems for nonlinear first-order PDEs (35F31)
Related Items (5)
Extinction and asymptotic behavior of solutions for the \(\omega\)-heat equation on graphs with source and interior absorption ⋮ Global existence and blow-up of solutions of nonlocal diffusion problems with free boundaries ⋮ Traveling wave solutions for a delayed SIRS infectious disease model with nonlocal diffusion and nonlinear incidence ⋮ Critical extinction exponents for a nonlocal reaction-diffusion equation with nonlocal source and interior absorption ⋮ Fujita type critical exponent for a free boundary problem with spatial-temporal source
Cites Work
- Unnamed Item
- Fujita exponents for evolution problems with nonlocal diffusion
- Spatial effects in discrete generation population models
- Nonlocal diffusion problems that approximate the heat equation with Dirichlet boundary conditions
- On the critical exponent for reaction-diffusion equations
- Nonlocal anisotropic dispersal with monostable nonlinearity
- Blow-up for a non-local diffusion problem with Neumann boundary conditions and a reaction term
- An integrodifferential model for phase transitions: stationary solutions in higher space dimensions
- Traveling waves in a convolution model for phase transitions
- Existence, uniqueness, and asymptotic stability of traveling waves in nonlocal evolution equations
- A nonlocal diffusion equation whose solutions develop a free boundary
- On the principal eigenvalue of some nonlocal diffusion problems
- The Neumann problem for nonlocal nonlinear diffusion equations
- Asymptotic behavior for nonlocal diffusion equations
This page was built for publication: Critical exponent for nonlocal diffusion equations with Dirichlet boundary condition