An inverse potential problem for the stochastic diffusion equation with a multiplicative white noise
DOI10.3934/ipi.2023032zbMath1529.35570arXiv2302.03333OpenAlexW4385710927MaRDI QIDQ6087985
Xu Wang, Xiao-Li Feng, Peijun Li
Publication date: 13 December 2023
Published in: Inverse Problems and Imaging (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2302.03333
uniquenessregularizationmultiplicative white noisemild solutioninverse potential problemstochastic diffusion equation
Initial-boundary value problems for second-order parabolic equations (35K20) Inverse problems for PDEs (35R30) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Inverse problems in thermodynamics and heat transfer (80A23)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Stochastic partial differential equations: an introduction
- Fourier truncation method for high order numerical derivatives
- A modified method for high order numerical derivatives
- Reconstruction of the coefficients of a star graph from observations of its vertices
- Global uniqueness in an inverse problem for time fractional diffusion equations
- Recovery of the heat equation on a star graph
- Identification of a time-dependent control parameter for a stochastic diffusion equation
- Determining a distributed parameter in a neural cable model via a boundary control method
- Determining Coefficients in a Class of Heat Equations via Boundary Measurements
- A stability result for a time-dependent potential in a cylindrical domain
- Simultaneous inversion for the space-dependent diffusion coefficient and the fractional order in the time-fractional diffusion equation
- Carleman estimate for stochastic parabolic equations and inverse stochastic parabolic problems
- Conditional stability in determination of initial data for stochastic parabolic equations
- Uniqueness in an inverse problem for a one-dimensional fractional diffusion equation
- The Determination of a Parabolic Equation from Initial and Final Data
- Numerical procedures for the determination of an unknown coefficient in semi-linear parabolic differential equations
- Wavelet and Fourier Methods for Solving the Sideways Heat Equation
- An inverse random source problem in a stochastic fractional diffusion equation
- An inverse random source problem for the time fractional diffusion equation driven by a fractional Brownian motion
- An inverse potential problem for subdiffusion: stability and reconstruction*
- Recovering a time-dependent potential function in a time fractional diffusion equation by using a nonlinear condition
- Analysis of Finite Difference Schemes
- On an inverse potential problem for a fractional reaction–diffusion equation
- Galerkin Finite Element Methods for Parabolic Problems
- Determination of the unknown time dependent coefficient p(t) in the parabolic equation ut = Δu + p(t)u + φ(x, t)
- Numerical solution of an inverse random source problem for the time fractional diffusion equation via PhaseLift
- Inverse problems for partial differential equations
