A Stochastic Representation for Nonlocal Parabolic PDEs with Applications
DOI10.1287/moor.2020.1061zbMath1498.35164OpenAlexW4225829598WikidataQ114058160 ScholiaQ114058160MaRDI QIDQ5868931
Chen Yang, Min Dai, Steven Kou
Publication date: 26 September 2022
Published in: Mathematics of Operations Research (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1287/moor.2020.1061
nonlocal problemslinear thermoelasticityFeynman-Kac representationdual-purpose fundsterminal-boundary value problem
Initial-boundary value problems for second-order parabolic equations (35K20) Integral representations of solutions to PDEs (35C15) Applications of stochastic analysis (to PDEs, etc.) (60H30)
Cites Work
- Unnamed Item
- Unnamed Item
- Exponential decay of solutions of semilinear parabolic equations with nonlocal initial conditions
- On nonlinear parabolic equations with nonlocal boundary conditions
- The one-dimensional heat equation with a nonlocal initial condition
- Asymptotic behavior of solutions of reaction-diffusion equations with nonlocal boundary conditions
- Limits of first passage times to rare sets in regenerative processes
- Reaction diffusion equations with nonlocal boundary and nonlocal initial conditions
- Impulse Control of Brownian Motion
- Optimal Control of a Mean-Reverting Inventory
- A Review of Regenerative Processes
- On the uniqueness of classical solutions of Cauchy problems
- Functional Integration and Partial Differential Equations. (AM-109)
- Monotonic decay of solutions of parabolic equations with nonlocal boundary conditions
- Extensions of a property of the heat equation to linear thermoelasticity and other theories
- Time-periodic solutions of linear parabolic differential equations
- Dynamics of reaction-diffusion equations with nonlocal boundary conditions
- On non-local problems for parabolic equations
This page was built for publication: A Stochastic Representation for Nonlocal Parabolic PDEs with Applications