A probabilistic approach to mixed boundary value problems for elliptic operators with singular coefficients
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Publication:5418529
DOI10.1090/S0002-9939-2014-11907-1zbMath1296.60164MaRDI QIDQ5418529
Tu-Sheng Zhang, Zhen-Qing Chen
Publication date: 4 June 2014
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Optimal stochastic control (93E20) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)
Related Items (6)
Neumann boundary value problems for elliptic operators with measure-valued coefficients ⋮ A probabilistic approach to Neumann problems for elliptic PDEs with nonlinear divergence terms ⋮ Probabilistic representations of solutions of elliptic boundary value problem and non-symmetric semigroups ⋮ Mixed boundary value problems of semilinear elliptic PDEs and BSDEs with singular coefficients ⋮ The probabilistic solution of a system of semilinear elliptic PDEs under the third boundary conditions ⋮ Neumann boundary problems for parabolic partial differential equations with divergence terms
Cites Work
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- Some potential theory for reflecting Brownian motion in Hölder and Lipschitz domains
- A \(W^{1,p}\)-estimate for solutions to mixed boundary value problems for second order elliptic differential equations
- The probabilistic solution of the Dirichlet problem for \({1\over2}\Delta+\langle a,\nabla\rangle+b\) with singular coefficients
- Introduction to the theory of (non-symmetric) Dirichlet forms
- On reflecting diffusion processes and Skorokhod decompositions
- Integrability of functionals of Dirichlet processes, probabilistic representations of semigroups, and estimates of heat kernels
- Dirichlet forms and symmetric Markov processes
- First eigenvalues and comparison of Green's functions for elliptic operators on manifolds or domains
- Analytic characterization of conditional gaugeability for non-local Feynman-Kac transforms
- Diffusion processes and second order elliptic operators with singular coefficients for lower order terms
- Estimates of heat kernels with Neumann boundary conditions
- Time-reversal and elliptic boundary value problems
- Stochastic calculus for symmetric Markov processes
- Perturbation of symmetric Markov processes
- Gaugeability and conditional gaugeability
- Functional Integration and Partial Differential Equations. (AM-109)
- Probabilistic approach to the neumann problem
- Stochastic calculus for continuous additive functionals of zero energy
- Two-dimensional Brownian motion and harmonic functions
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