Regularity for solutions of non local parabolic equations
From MaRDI portal
Publication:2636866
DOI10.1007/s00526-012-0576-2zbMath1292.35068arXiv1109.3247OpenAlexW2129297920MaRDI QIDQ2636866
Gonzalo Dávila, Héctor Chang Lara
Publication date: 18 February 2014
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1109.3247
Hölder regularityfully nonlinear equationsHarnack estimatesAleksandrov-Bakelman-Pucci-Krylov-Tso theoremnon-divergence case
Smoothness and regularity of solutions to PDEs (35B65) Nonlinear parabolic equations (35K55) A priori estimates in context of PDEs (35B45) Viscosity solutions to PDEs (35D40) Integro-partial differential equations (35R09)
Related Items
Interior regularity for nonlocal fully nonlinear equations with Dini continuous terms ⋮ Nonlocal filtration equations with rough kernels ⋮ Perron's method for nonlocal fully nonlinear equations ⋮ Optimal results for the fractional heat equation involving the Hardy potential ⋮ Regularity for fully nonlinear integro-differential operators with regularly varying kernels ⋮ Dini and Schauder estimates for nonlocal fully nonlinear parabolic equations with drifts ⋮ Hölder estimates for non-local parabolic equations with critical drift ⋮ Schauder estimates for nonlocal fully nonlinear equations ⋮ A new regularization mechanism for the Boltzmann equation without cut-off ⋮ An \(L_q(L_p)\)-theory for parabolic pseudo-differential equations: Calderón-Zygmund approach ⋮ Schauder estimates for an integro-differential equation with applications to a nonlocal Burgers equation ⋮ Hölder regularity for nondivergence nonlocal parabolic equations ⋮ The obstacle problem for the fractional Laplacian with critical drift ⋮ Regularity for the Boltzmann equation conditional to macroscopic bounds ⋮ Convex sets evolving by volume-preserving fractional mean curvature flows ⋮ Convergence results for a class of nonlinear fractional heat equations ⋮ Parabolic problem with fractional time derivative with nonlocal and nonsingular Mittag-Leffler kernel ⋮ Aleksandrov-Bakelman-Pucci maximum principles for a class of uniformly elliptic and parabolic integro-PDE ⋮ Remarks on Schauder estimates and existence of classical solutions for a class of uniformly parabolic Hamilton-Jacobi-Bellman integro-PDEs ⋮ Limited regularity of solutions to fractional heat and Schrödinger equations ⋮ Lipschitz regularity for censored subdiffusive integro-differential equations with superfractional gradient terms ⋮ Viscosity Solutions for Nonlocal Equations with Space-Dependent Operators ⋮ On the Cauchy problem for nondegenerate parabolic integro-differential equations in the scale of generalized Hölder spaces ⋮ Regularity for a special case of two-phase Hele-Shaw flow via parabolic integro-differential equations ⋮ Regularity estimates and open problems in kinetic equations ⋮ Well-posedness of fully nonlinear and nonlocal critical parabolic equations ⋮ Regularity of solutions to anisotropic nonlocal equations ⋮ Regularity in \(L_{p}\) Sobolev spaces of solutions to fractional heat equations ⋮ Asymptotic symmetry for a class of nonlinear fractional reaction-diffusion equations ⋮ Further Time Regularity for Nonlocal, Fully Nonlinear Parabolic Equations ⋮ On Schauder estimates for a class of nonlocal fully nonlinear parabolic equations ⋮ Regularity theory for second order integro-PDEs ⋮ Joint time-state generalized semiconcavity of the value function of a jump diffusion optimal control problem ⋮ Maximum Principles and Aleksandrov--Bakelman--Pucci Type Estimates for NonLocal Schrödinger Equations with Exterior Conditions ⋮ Regularity for fully nonlinear nonlocal parabolic equations with rough kernels ⋮ A study of nonlocal spatially heterogeneous logistic equation with harvesting ⋮ Dini estimates for nonlocal fully nonlinear elliptic equations ⋮ Optimal existence and uniqueness theory for the fractional heat equation ⋮ The one-phase fractional Stefan problem ⋮ Continuity of solutions to a nonlinear fractional diffusion equation ⋮ Existence of \(C^\alpha \) solutions to integro-PDEs ⋮ Existence of variational solutions to doubly nonlinear nonlocal evolution equations via minimizing movements ⋮ Hölder regularity for mixed local and nonlocal \(p\)-Laplace parabolic equations ⋮ Schauder estimates for solutions of linear parabolic integro-differential equations ⋮ On the differentiability of the solutions of non-local Isaacs equations involving \(\frac{1}{2}\)-Laplacian ⋮ Boundary regularity for the fractional heat equation ⋮ Existence of variational solutions to nonlocal evolution equations via convex minimization ⋮ Integro-partial differential equations with singular terminal condition
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the differentiability of the solution to the Hamilton-Jacobi equation with critical fractional diffusion
- Regularity results for nonlocal equations by approximation
- Second-order elliptic integro-differential equations: viscosity solutions' theory revisited
- Sequences of convex functions and estimates of the maximum of the solution of a parabolic equation
- Harnack inequalities for jump processes
- Analysis of jump processes with nondegenerate jumping kernels
- Aleksandrov-Bakelman-Pucci type estimates for integro-differential equations
- Limitazioni per soluzioni di equazioni ellittiche
- Regularity theory for parabolic nonlinear integral operators
- Regularity theory for fully nonlinear integro-differential equations
- On an Aleksandrov-Bakel'Man Type Maximum Principle for Second-Order Parabolic Equations
- On the regularity theory of fully nonlinear parabolic equations: I
- User’s guide to viscosity solutions of second order partial differential equations
- Harnack inequalities for non-local operators of variable order
- Holder estimates for solutions of integro differential equations like the fractional laplace
- Majorization of solutions of second-order linear equations
- Hölder Continuity of Harmonic Functions with Respect to Operators of Variable Order
