On the relationship between viscosity and distribution solutions for nonlinear Neumann type PDEs: the probabilistic approach
DOI10.1007/S00245-025-10222-0MaRDI QIDQ6667554
Jiagang Ren, Shoutian Wang, Jing Wu
Publication date: 20 January 2025
Published in: Applied Mathematics and Optimization (Search for Journal in Brave)
stochastic differential equationviscosity solutionNeumann boundary conditionmartingalenonlinear partial differential equationprobabilistic representationdistribution solution
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Nonlinear elliptic equations (35J60) Applications of stochastic analysis (to PDEs, etc.) (60H30)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Probabilistic representation of weak solutions of partial differential equations with polynomial growth coefficients
- Adapted solution of a backward stochastic differential equation
- Existence and uniqueness of bounded weak solutions of a semilinear parabolic PDE
- Equivalence of viscosity and weak solutions for the \(p(x)\)-Laplacian
- On the continuity of the probabilistic representation of a semilinear Neumann-Dirichlet problem
- Forward-backward stochastic differential equations and quasilinear parabolic PDEs
- Uniqueness of solutions to the Cauchy problem for \(u_ t-u\Delta u+\gamma|\nabla u|^ 2=0\)
- Generalized BSDEs and nonlinear Neumann boundary value problems
- Quasi-linear PDEs and forward-backward stochastic differential equations: weak solutions
- Equivalence between distributional and viscosity solutions for the double-phase equation
- On the equivalence of viscosity and distribution solutions of second-order PDEs with Neumann boundary conditions
- Equivalence of solutions to fractional \(p\)-Laplace type equations
- Stochastic differential equations, backward SDEs, partial differential equations
- Wong-Zakai approximation of solutions to reflecting stochastic differential equations on domains in Euclidean spaces
- On the equivalence of viscosity solutions and distributional solutions for the time-fractional diffusion equation
- On the equivalence of viscosity solutions and weak solutions for a quasi-linear equation
- A New Proof for the Equivalence of Weak and Viscosity Solutions for thep-Laplace Equation
- Backward stochastic differential equations and integral-partial differential equations
- Optimal control of diffusion processes and hamilton–jacobi–bellman equations part 2 : viscosity solutions and uniqueness
- Functional Integration and Partial Differential Equations. (AM-109)
- Stochastic differential equations with reflecting boundary conditions
- Probabilistic interpretation for systems of quasilinear parabolic partial differential equations
- User’s guide to viscosity solutions of second order partial differential equations
- A stochastic approach to a new type of parabolic variational inequalities
- Reflected forward-backward SDEs and obstacle problems with boundary conditions
- Equivalence of weak and viscosity solutions for the nonhomogeneous double phase equation
This page was built for publication: On the relationship between viscosity and distribution solutions for nonlinear Neumann type PDEs: the probabilistic approach
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6667554)