Schauder estimates for equations associated with Lévy generators
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Publication:2422635
DOI10.1007/s00020-019-2508-4zbMath1488.60122arXiv1812.06124OpenAlexW2903956686MaRDI QIDQ2422635
Publication date: 20 June 2019
Published in: Integral Equations and Operator Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1812.06124
Processes with independent increments; Lévy processes (60G51) Integro-partial differential equations (45K05) Transition functions, generators and resolvents (60J35)
Related Items (10)
Schauder estimates for degenerate Lévy Ornstein-Uhlenbeck operators ⋮ Sobolev regularity theory for the non-local elliptic and parabolic equations on \(C^{1,1}\) open sets ⋮ Local versus nonlocal elliptic equations: short-long range field interactions ⋮ Schauder estimates for Poisson equations associated with non-local Feller generators ⋮ A Liouville theorem for Lévy generators ⋮ Periodic homogenization of nonsymmetric Lévy-type processes ⋮ Schauder theorems for a class of (pseudo‐)differential operators on finite‐ and infinite‐dimensional state spaces ⋮ Convolution inequalities for Besov and Triebel–Lizorkin spaces, and applications to convolution semigroups ⋮ Cauchy problem for a fractional anisotropic parabolic equation in anisotropic Hölder spaces ⋮ Interior Schauder estimates for elliptic equations associated with Lévy operators
Cites Work
- Regularity theory for general stable operators
- Existence and estimates of moments for Lévy-type processes
- Ten equivalent definitions of the fractional Laplace operator
- Hölder continuity of solutions of second-order non-linear elliptic integro-differential equations
- Regularity results for stable-like operators
- Potential analysis of stable processes and its extensions. With some of the papers based on the presentations at the workshop on stochastic and harmonic analysis of processes with jumps, Angers, France, May 2--9, 2006.
- Dirichlet forms and analysis on Wiener space
- Growth and Hölder conditions for the sample paths of Feller processes
- Kato classes for Lévy processes
- On the domain of fractional Laplacians and related generators of Feller processes
- Coupling property and gradient estimates of Lévy processes via the symbol
- Schauder estimates for a class of non-local elliptic equations
- Lévy matters VI. Lévy-type processes: moments, construction and heat kernel estimates
- Intrinsic Hölder continuity of harmonic functions
- Schauder estimates for Poisson equations associated with non-local Feller generators
- Strong convergence of the Euler-Maruyama approximation for a class of Lévy-driven SDEs
- Estimates of transition densities and their derivatives for jump Lévy processes
- Brownian motion. An introduction to stochastic processes. With contributions by Björn Böttcher
- On Harnack inequality and Hölder regularity for isotropic unimodal Lévy processes
- A probabilistic proof of Schoenberg's theorem
- Measures, Integrals and Martingales
- Gradient estimates of harmonic functions and transition densities for Lévy processes
- Regularity theory for fully nonlinear integro-differential equations
- Elliptic Partial Differential Equations of Second Order
- A note on the existence of transition probability densities of Lévy processes
- Regularity of harmonic functions for anisotropic fractional Laplacians
- Bernstein functions. Theory and applications
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