Maximum principle for stable operators
From MaRDI portal
Publication:6185699
DOI10.1002/mana.202200354arXiv2206.15315MaRDI QIDQ6185699
Thorben Hensiek, Florian Grube
Publication date: 8 January 2024
Published in: Mathematische Nachrichten (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2206.15315
Maximum principles in context of PDEs (35B50) Schrödinger operator, Schrödinger equation (35J10) Stable stochastic processes (60G52) Weak solutions to PDEs (35D30) Integro-differential operators (47G20) Fractional partial differential equations (35R11)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Large \(s\)-harmonic functions and boundary blow-up solutions for the fractional Laplacian
- Regularity theory for general stable operators
- Elliptic PDEs, measures and capacities. From the Poisson equation to nonlinear Thomas-Fermi problems
- Hitchhiker's guide to the fractional Sobolev spaces
- A direct method of moving planes for the fractional Laplacian
- Nonlocal problems with Neumann boundary conditions
- 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.
- The Dirichlet problem for nonlocal operators with singular kernels: convex and nonconvex domains
- Representation of \(a\)-harmonic functions in Lipschitz domains
- Harmonic functions for Riesz potentials on the unit ball
- Hardy inequality for censored stable processes
- The Dirichlet problem for nonlocal Lévy-type operators
- A fractional order Hardy inequality
- Extension and trace for nonlocal operators
- Remarks on the nonlocal Dirichlet problem
- On the strong maximum principle for nonlocal operators
- Regularity estimates for elliptic nonlocal operators
- The Dirichlet problem for nonlocal operators
- Fractional calculus for power functions and eigenvalues of the fractional Laplacian
- The Dirichlet problem for the fractional Laplacian: regularity up to the boundary
- Weak and viscosity solutions of the fractional Laplace equation
- Nonlinear equations for fractional Laplacians. I: Regularity, maximum principles, and Hamiltonian estimates
- Small order asymptotics of the Dirichlet eigenvalue problem for the fractional Laplacian
- Dirichlet integrals and Gaffney-Friedrichs inequalities in convex domains
- Regularity of the obstacle problem for a fractional power of the laplace operator
- Regularity theory for fully nonlinear integro-differential equations
- Elliptic Partial Differential Equations of Second Order
- Potential theory for the α-stable Schrödinger operator on bounded Lipschitz domains
- On the loss of maximum principles for higher-order fractional Laplacians
- A NONLOCAL VECTOR CALCULUS, NONLOCAL VOLUME-CONSTRAINED PROBLEMS, AND NONLOCAL BALANCE LAWS
- Maximum principles and Bôcher type theorems
- The Dirichlet problem for the logarithmic Laplacian
- Symmetry via antisymmetric maximum principles in nonlocal problems of variable order
- Maximum principles for Laplacian and fractional Laplacian with critical integrability
This page was built for publication: Maximum principle for stable operators