Convergence results for a class of nonlinear fractional heat equations

DOI10.1007/s11856-013-0008-9zbMath1287.35089OpenAlexW2028534149MaRDI QIDQ375494

Erwin Topp, Patricio L. Felmer

Publication date: 31 October 2013

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

Full work available at URL: http://hdl.handle.net/10533/128447

zbMATH Keywords

nonlocal equationsBellman operatorheat equationsfractional operatorsIsaacs operator

Mathematics Subject Classification ID

Heat equation (35K05) Integral representations of solutions to PDEs (35C15) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Initial value problems for second-order parabolic equations (35K15) Qualitative properties of solutions to partial differential equations (35B99) Fractional partial differential equations (35R11) PDEs in connection with classical thermodynamics and heat transfer (35Q79)

Related Items

Interior regularity results for zeroth order operators approaching the fractional Laplacian ⋮ Uniform Equicontinuity for a Family of Zero Order Operators Approaching the Fractional Laplacian

Cites Work

• Unnamed Item
• Unnamed Item
• Lipschitz regularity of solutions for mixed integro-differential equations
• Hölder continuity of solutions of second-order non-linear elliptic integro-differential equations
• On the differentiability of the solution to the Hamilton-Jacobi equation with critical fractional diffusion
• On uniqueness and monotonicity of solutions of non-local reaction diffusion equation
• Regularity results for nonlocal equations by approximation
• Nonlocal diffusion problems that approximate the heat equation with Dirichlet boundary conditions
• Corrigendum for comparison theorems in: ``A new definition of viscosity solutions for a class of second-order degenerate elliptic integro-differential equations
• Viscosity solutions of fully nonlinear second-order elliptic partial differential equations
• Second-order elliptic integro-differential equations: viscosity solutions' theory revisited
• A nonlocal \(p\)-Laplacian evolution equation with Neumann boundary conditions
• On the strong maximum principle for second order nonlinear parabolic integro-differential equations
• A nonlocal inhomogeneous dispersal process
• How to approximate the heat equation with Neumann boundary conditions by nonlocal diffusion problems
• Regularity for solutions of non local parabolic equations
• Regularity of the obstacle problem for a fractional power of the laplace operator
• Existence and Uniqueness of Solutions to a Nonlocal Equation with Monostable Nonlinearity
• Fractional semi-linear parabolic equations with unbounded data
• Regularity theory for fully nonlinear integro-differential equations
• On existence and uniqueness of solutions of Hamilton-Jacobi equations
• User’s guide to viscosity solutions of second order partial differential equations
• Existence and Asymptotic Behavior of Solutions to Some Inhomogeneous Nonlocal Diffusion Problems
• Periodic Homogenization for Nonlinear Integro-Differential Equations
• On a non-local equation arising in population dynamics

This page was built for publication: Convergence results for a class of nonlinear fractional heat equations