The divergence theorem and nonlocal counterparts
From MaRDI portal
Publication:6190524
DOI10.1112/blms.12960arXiv2302.01945OpenAlexW4389336504MaRDI QIDQ6190524
Unnamed Author, Moritz Kassmann
Publication date: 5 March 2024
Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2302.01945
Integro-differential operators (47G20) Integral formulas of real functions of several variables (Stokes, Gauss, Green, etc.) (26B20) Integro-partial differential equations (35R09)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the variation of the fractional mean curvature under the effect of \(C^{1, \alpha}\) perturbations
- The fractional Neumann and Robin type boundary conditions for the regional fractional \(p\)-Laplacian
- Nonlocal problems with Neumann boundary conditions
- Uniform estimates and limiting arguments for nonlocal minimal surfaces
- Gamma-convergence of nonlocal perimeter functionals
- Integration by parts formula for regional fractional Laplacian
- A generalized nonlocal vector calculus
- Distance to \(C^k\) hypersurfaces
- On an open question about functions of bounded variation.
- Fractional div-curl quantities and applications to nonlocal geometric equations
- Fractional vector analysis based on invariance requirements (critique of coordinate approaches)
- Realization of the fractional Laplacian with nonlocal exterior conditions via forms method
- Towards a unified theory of fractional and nonlocal vector calculus
- Leibniz rules and Gauss-Green formulas in distributional fractional spaces
- Regularity properties of nonlocal minimal surfaces via limiting arguments
- A Notion of Nonlocal Curvature
- Sets of Finite Perimeter and Geometric Variational Problems
- A Nonlocal Vector Calculus with Application to Nonlocal Boundary Value Problems
- Magnetic Energies and Feynman–Kac–Itô Formulas for Symmetric Markov Processes
- Nonlocal minimal surfaces
- Nonlocal transmission problems with fractional diffusion and boundary conditions on non-smooth interfaces
- Nonlocal Perimeter, Curvature and Minimal Surfaces for Measurable Sets
- A NONLOCAL VECTOR CALCULUS, NONLOCAL VOLUME-CONSTRAINED PROBLEMS, AND NONLOCAL BALANCE LAWS
- Über den Gaußschen und den Stokesschen Integralsatz. III
