Nonlocal elliptic and parabolic equations with general stable operators in weighted Sobolev spaces
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Publication:6571029
DOI10.1137/23M160061XzbMATH Open1543.35061MaRDI QIDQ6571029
Publication date: 11 July 2024
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
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Smoothness and regularity of solutions to PDEs (35B65) Integro-partial differential equations (45K05) Stable stochastic processes (60G52) Fractional partial differential equations (35R11)
Cites Work
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- Regularity theory for general stable operators
- Boundary regularity for fully nonlinear integro-differential equations
- Fractional Laplacians on domains, a development of Hörmander's theory of \(\mu\)-transmission pseudodifferential operators
- Interior regularity of solutions of non-local equations in Sobolev and Nikol'skii spaces
- Local elliptic regularity for the Dirichlet fractional Laplacian
- A weighted \(L_p\)-theory for parabolic PDEs with BMO coefficients on \(C^1\)-domains
- The Dirichlet problem for nonlocal operators with singular kernels: convex and nonconvex domains
- Properties of solutions of stochastic differential equations
- Intermediate Schauder estimates
- A \(W_ 2^ n\)-theory of the Dirichlet problem for SPDEs in general smooth domains
- The obstacle problem for the fractional Laplacian with critical drift
- Regularity in \(L_{p}\) Sobolev spaces of solutions to fractional heat equations
- On \(L^p\)-theory for parabolic and elliptic integro-differential equations with scalable operators in the whole space
- On the Cauchy problem for integro-differential equations in the scale of spaces of generalized smoothness
- On the Dirichlet problem for pseudodifferential operators generating Feller semigroups
- Extension and trace for nonlocal operators
- A weighted \(L_p\)-theory for divergence type parabolic PDEs with BMO coefficients on \(C^1\)-domains
- Non-symmetric stable operators: regularity theory and integration by parts
- \( H^{s, p}\) regularity theory for a class of nonlocal elliptic equations
- The Dirichlet problem for nonlocal operators
- Elliptic and parabolic equations with measurable coefficients in weighted Sobolev spaces
- Regularity theory for general stable operators: parabolic equations
- Boundary regularity estimates for nonlocal elliptic equations in \(C^1\) and \(C^{1,\alpha }\) domains
- Local regularity for fractional heat equations
- The Dirichlet problem for the fractional Laplacian: regularity up to the boundary
- Trace theorems for Sobolev--Slobodeckij spaces with or without weights
- Local and nonlocal boundary conditions for \(\mu\)-transmission and fractional elliptic pseudodifferential operators
- Regularity for solutions of non local parabolic equations
- Resolvents for fractional-order operators with nonhomogeneous local boundary conditions
- The Dirichlet problem for stable-like operators and related probabilistic representations
- The Dirichlet problem for non-divergence parabolic equations with discontinuous in time coefficients
- Lp-Solvability of Nonlocal Parabolic Equations with Spatial Dependent and Non-smooth Kernels
- Decay rate of harmonic functions for non-symmetric strictly $\alpha $-stable Lévy processes
- Parabolic and Elliptic Equations with VMO Coefficients
- Regularity theory for fully nonlinear integro-differential equations
- A Sobolev Space Theory of SPDE with Constant Coefficients on a Half Line
- Weighted sobolev spaces and laplace's equation and the heat equations in a half space
- On The Sobolev Space Theory of Parabolic and Elliptic Equations inC1Domains
- Sobolev spaces with weights in domains and boundary value problems for degenerate elliptic equations
- Some properties of traces for stochastic and deterministic parabolic weighted Sobolev spaces
- Robust nonlocal trace spaces and Neumann problems
- Sobolev regularity theory for the non-local elliptic and parabolic equations on \(C^{1,1}\) open sets
- Fractional‐order operators on nonsmooth domains
- The Dirichlet problem for Lévy-stable operators with \(L^2\)-data
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