On Neumann and oblique derivatives boundary conditions for nonlocal elliptic equations
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Publication:2438813
DOI10.1016/j.jde.2013.11.001zbMath1285.35122arXiv1302.5568OpenAlexW2050943707MaRDI QIDQ2438813
Espen R. Jakobsen, Guy Barles, Christine A. Georgelin
Publication date: 6 March 2014
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1302.5568
reflectionLévy processviscosity solutionsnonlocal elliptic equationpartial-integro differential equationsNeumann-type boundary conditionsgeneral nonlocal operators
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Cites Work
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- Reflected symmetric \(\alpha\)-stable processes and regional fractional Laplacian
- Integration by parts formula for regional fractional Laplacian
- Second-order elliptic integro-differential equations: viscosity solutions' theory revisited
- Reflected diffusion processes with jumps
- Nonlinear Neumann boundary conditions for quasilinear degenerate elliptic equations and applications
- Censored stable processes
- Forward equations for reflected diffusions with jumps
- A ``maximum principle for semicontinuous functions applicable to integro-partial differential equations
- Backward stochastic differential equations and integral-partial differential equations
- On Neumann type problems for nonlocal equations set in a half space
- Lévy Processes and Stochastic Calculus
- Stochastic differential equations with reflecting boundary conditions
- On Excursions of Reflecting Brownian Motion
- User’s guide to viscosity solutions of second order partial differential equations
- Financial Modelling with Jump Processes
- A Singular Hamilton--Jacobi Equation Modeling the Tail Problem
- An Extension Problem Related to the Fractional Laplacian
- On the Dirichlet problem for second-order elliptic integro-differential equations
- BOUNDARY PROBLEMS FOR FRACTIONAL LAPLACIANS
