Existence, Uniqueness, and Asymptotic Behavior for Nonlocal Parabolic Problems with Dominating Gradient Terms
From MaRDI portal
Publication:2802694
DOI10.1137/140967192zbMath1439.35509arXiv1404.7804OpenAlexW2243892343MaRDI QIDQ2802694
Publication date: 27 April 2016
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1404.7804
large time behaviorparabolic integro-differential equationsviscosity solutionscomparison principlesgeneralized Dirichlet problem
Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Viscosity solutions to PDEs (35D40) Integro-partial differential equations (35R09) Comparison principles in context of PDEs (35B51)
Related Items
An ODE approach for fractional Dirichlet problems with gradient nonlinearity, Analysis of the attainment of boundary conditions for a nonlocal diffusive Hamilton-Jacobi equation, Continuous viscosity solutions for nonlocal Dirichlet problems with coercive gradient terms, On Neumann problems for nonlocal Hamilton-Jacobi equations with dominating gradient terms, Lipschitz regularity for censored subdiffusive integro-differential equations with superfractional gradient terms, Lipschitz regularity for integro-differential equations with coercive Hamiltonians and application to large time behavior
Cites Work
- Hitchhiker's guide to the fractional Sobolev spaces
- Regularity results and large time behavior for integro-differential equations with coercive Hamiltonians
- Comparison principle for Dirichlet-type Hamilton-Jacobi equations and singular perturbations of degenerated elliptic equations
- The Dirichlet problem for some nonlocal diffusion equations.
- Reflected symmetric \(\alpha\)-stable processes and regional fractional Laplacian
- Lipschitz regularity for censored subdiffusive integro-differential equations with superfractional gradient terms
- Second-order elliptic integro-differential equations: viscosity solutions' theory revisited
- A short proof of the \(C^{0,\alpha }\)-regularity of viscosity subsolutions for superquadratic viscous Hamilton-Jacobi equations and applications
- A remark on regularization in Hilbert spaces
- Shape analysis via oriented distance functions
- Viscosity solutions of Hamilton-Jacobi equations
- Censored stable processes
- Remarks on the Dirichlet and state-constraint problems for quasilinear parabolic equations.
- On the generalized Dirichlet problem for viscous Hamilton--Jacobi equations.
- Elliptic partial differential equations of second order
- Viscosity solutions of nonlinear integro-differential equations
- Large time behavior of periodic viscosity solutions for uniformly parabolic integro-differential equations
- Equations with nonnegative characteristic form. I
- Equations with nonnegative characteristic form. II
- Space-Time Periodic Solutions and Long-Time Behavior of Solutions to Quasi-linear Parabolic Equations
- Existence and Uniqueness for Integro-Differential Equations with Dominating Drift Terms
- Large time behavior of solutions of viscous Hamilton–Jacobi equations with superquadratic Hamiltonian
- Regularity theory for fully nonlinear integro-differential equations
- Functional Integration and Partial Differential Equations. (AM-109)
- Optimal Control with State-Space Constraint I
- Exit Time Problems in Optimal Control and Vanishing Viscosity Method
- Equqtions D'Hamilton-Jacobi Du Premier Ordre Avec Termes Intégro-Différentiels
- User’s guide to viscosity solutions of second order partial differential equations
- A strong comparison result for the bellman equation arising in stochastic exit time control problems and its applications
- The Dirichlet Problem for Semilinear Second-Order Degenerate Elliptic Equations and Applications to Stochastic Exit Time Control Problems
- COMPARISON RESULTS FOR QUASILINEAR EQUATIONS IN ANNULAR DOMAINS AND APPLICATIONS1*
- Hölder estimates for degenerate elliptic equations with coercive Hamiltonians
- On the Dirichlet problem for second-order elliptic integro-differential equations
- Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations
- Equqtions D'Hamilton-Jacobi Du Premier Ordre Avec Termes Intégro-Différentiels
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
