Regularity estimates for nonlocal Schrödinger equations (Q1725805)

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English	Regularity estimates for nonlocal Schrödinger equations	scientific article

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scholarly article

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Regularity estimates for nonlocal Schrödinger equations (English)

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Mouhamed Moustapha Fall

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Discrete and Continuous Dynamical Systems

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publication date

15 February 2019

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full work available at URL

https://arxiv.org/abs/1711.02206

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zbMATH Keywords

regularity estimates

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blow up analysis

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anisotropic fractional Laplacian

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nonlocal operators

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Morrey space

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MaRDI profile type

MaRDI publication profile

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Hölder continuity of solutions of second-order non-linear elliptic integro-differential equations

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On the Dirichlet problem for second-order elliptic integro-differential equations

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Bootstrap regularity for integro-differential operators and its application to nonlocal minimal surfaces

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Harnack inequalities for jump processes

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Boundary Harnack inequality for Markov processes with jumps

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Potential theory for the α-stable Schrödinger operator on bounded Lipschitz domains

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The boundary Harnack principle for the fractional Laplacian

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Obstacle problems for integro-differential operators: regularity of solutions and free boundaries

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Regularity theory for fully nonlinear integro-differential equations

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Regularity results for nonlocal equations by approximation

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The Evans-Krylov theorem for nonlocal fully nonlinear equations

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Interior a priori estimates for solutions of fully nonlinear equations

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Estimates on Green functions and Poisson kernels for symmetric stable processes

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Asymptotics Without Logarithmic Terms for Crack Problems†

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Regularity results and Harnack inequalities for minimizers and solutions of nonlocal problems: a unified approach via fractional De Giorgi classes

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Local behavior of fractional \(p\)-minimizers

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Hölder-continuity of solutions for some Schrödinger equations

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Regularity results for nonlocal equations and applications

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Liouville theorems for a general class of nonlocal operators

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The Dirichlet problem for nonlocal operators

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Regularity theory for general stable operators: parabolic equations

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Boundary regularity for the fractional heat equation

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Fractional p-eigenvalues

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A short proof of Weyl's law for fractional differential operators

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Elliptic partial differential equations of second order

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On the Diffeomorphisms of Euclidean Space

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Modern Fourier Analysis

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Fractional Laplacians on domains, a development of Hörmander's theory of \(\mu\)-transmission pseudodifferential operators

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Local and nonlocal boundary conditions for \(\mu\)-transmission and fractional elliptic pseudodifferential operators

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Integration by parts and Pohozaev identities for space-dependent fractional-order operators

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On the Dirichlet problem for pseudodifferential operators generating Feller semigroups

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Schauder estimates for nonlocal fully nonlinear equations

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A priori estimates for integro-differential operators with measurable kernels

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Intrinsic scaling properties for nonlocal operators

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Integro-Differential equations with nonlinear directional dependence

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Regularity results for nonlocal parabolic equations

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<i>C</i><sup>1, α</sup>Interior Regularity for Nonlinear Nonlocal Elliptic Equations with Rough Kernels

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The theory of De Giorgi for non-local operators

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Nonlocal equations with measure data

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Pointwise estimates for Laplace equation. Applications to the free boundary of the obstacle problem with Dini coefficients

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Boundary regularity estimates for nonlocal elliptic equations in \(C^1\) and \(C^{1,\alpha }\) domains

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Nonlocal equations in bounded domains: a survey

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Regularity theory for general stable operators

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Boundary regularity for fully nonlinear integro-differential equations

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The Dirichlet problem for the fractional Laplacian: regularity up to the boundary

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Regularity for parabolic integro-differential equations with very irregular kernels

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\(C^{\sigma +\alpha}\) regularity for concave nonlocal fully nonlinear elliptic equations with rough kernels

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Regularity for fully nonlinear nonlocal parabolic equations with rough kernels

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Boundary Harnack principle for symmetric stable processes

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.3934/DCDS.2019061

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Sitelinks

Mathematics(1 entry)

mardi Publication:1725805

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