Reaction-diffusion equations with fractional diffusion on non-smooth domains with various boundary conditions
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Publication:256139
DOI10.3934/dcds.2016.36.1279zbMath1334.35387OpenAlexW2524910818MaRDI QIDQ256139
Mahamadi Warma, Ciprian G. Gal
Publication date: 9 March 2016
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcds.2016.36.1279
asymptotic behaviorglobal attractorconvergence to steady statesfractional Laplace operatorfractional Neumann and Robin boundary conditions on open setssemi-linear reaction-diffusion equation
Attractors (35B41) Reaction-diffusion equations (35K57) Variational methods applied to PDEs (35A15) Degenerate parabolic equations (35K65) Fractional partial differential equations (35R11)
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Cites Work
- Unnamed Item
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- Unnamed Item
- Longtime behavior of nonlocal Cahn-Hilliard equations
- On a class of degenerate parabolic equations with dynamic boundary conditions
- Sharp estimates for the global attractor of scalar reaction-diffusion equations with a Wentzell boundary condition
- Hitchhiker's guide to the fractional Sobolev spaces
- Traveling wave solutions of Allen-Cahn equation with a fractional Laplacian
- Long-term behavior of reaction-diffusion equations with nonlocal boundary conditions on rough domains
- Nonlocal problems with Neumann boundary conditions
- Convergence of solutions of a non-local phase-field system
- Fractional diffusion limit for collisional kinetic equations
- The asymptotic distribution of the eigenvalues for a class of Markov operators
- Reflected symmetric \(\alpha\)-stable processes and regional fractional Laplacian
- A descent method for the free energy of multicomponent systems
- Integration by parts formula for regional fractional Laplacian
- Variational problems with free boundaries for the fractional Laplacian
- Front-type solutions of fractional Allen-Cahn equation
- Infinite-dimensional dynamical systems in mechanics and physics.
- Censored stable processes
- Limiting embedding theorems for \(W^{s,p}\) when \(s\uparrow 1\) and applications
- A phase-field theory of dislocation dynamics, strain hardening and hysteresis in ductile single crystals.
- Nonexistence theorems for the heat equation with nonlinear boundary conditions and for the porous medium equation backward in time
- A non-smooth version of the Lojasiewicz-Simon theorem with applications to non-local phase-field systems
- Variational methods for non-local operators of elliptic type
- The fractional relative capacity and the fractional Laplacian with Neumann and Robin boundary conditions on open sets
- The Dirichlet problem for the fractional Laplacian: regularity up to the boundary
- Regularity estimates for the solution and the free boundary of the obstacle problem for the fractional Laplacian
- A variational model for dislocations in the line tension limit
- Heat kernel estimates for stable-like processes on \(d\)-sets.
- Fractional Fokker–Planck equation for nonlinear stochastic differential equations driven by non-Gaussian Lévy stable noises
- A Nonlocal Vector Calculus with Application to Nonlocal Boundary Value Problems
- LPBounds of solutions of reaction-diffusion equations
- A NONLOCAL VECTOR CALCULUS, NONLOCAL VOLUME-CONSTRAINED PROBLEMS, AND NONLOCAL BALANCE LAWS
- An Extension Problem Related to the Fractional Laplacian
- Non-doubling Ahlfors measures, perimeter measures, and the characterization of the trace spaces of Sobolev functions in Carnot-Carathéodory spaces
- Nonequilibrium scaling limit for a tagged particle in the simple exclusion process with long jumps
- On the growth of solutions of quasi‐linear parabolic equations
- BOUNDARY PROBLEMS FOR FRACTIONAL LAPLACIANS