Backward stochastic differential equations and Dirichlet problems of semilinear elliptic operators with singular coefficients
DOI10.1007/s11118-017-9654-6zbMath1425.60061OpenAlexW2767753866WikidataQ59527472 ScholiaQ59527472MaRDI QIDQ1662908
Publication date: 20 August 2018
Published in: Potential Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11118-017-9654-6
backward stochastic differential equationsDirichlet boundary value problemDirichlet formssemilinear second order elliptic differential equations
Boundary value problems for second-order elliptic equations (35J25) Applications of stochastic analysis (to PDEs, etc.) (60H30) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)
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Cites Work
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- A probabilistic approach to Dirichlet problems of semilinear elliptic PDEs with singular coefficients
- Probabilistic representations of solutions of elliptic boundary value problem and non-symmetric semigroups
- Introduction to the theory of (non-symmetric) Dirichlet forms
- Integrability of functionals of Dirichlet processes, probabilistic representations of semigroups, and estimates of heat kernels
- General gauge and conditional gauge theorems
- Diffusion processes and second order elliptic operators with singular coefficients for lower order terms
- Semi-Dirichlet forms and Markov processes
- Time-reversal and elliptic boundary value problems
- \(L^p\) solutions of backward stochastic differential equations.
- Probabilistic interpretation for systems of quasilinear parabolic partial differential equations
- Bounds for the fundamental solution of a parabolic equation
- Two-dimensional Brownian motion and harmonic functions
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