Conditional well-posedness for an inverse source problem in the diffusion equation using the variational adjoint method
From MaRDI portal
Publication:1798460
DOI10.1155/2017/6801260zbMath1453.35196OpenAlexW2724737791WikidataQ59142459 ScholiaQ59142459MaRDI QIDQ1798460
Chunlong Sun, Qian Liu, Gongsheng Li
Publication date: 23 October 2018
Published in: Advances in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2017/6801260
Initial-boundary value problems for second-order parabolic equations (35K20) Inverse problems for PDEs (35R30) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Ecology (92D40)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- A conditional Lipschitz stability for determining a space-dependent source coefficient in the 2D/3D advection-dispersion equation
- Carleman type estimates in an anisotropic case and applications
- Inverse coefficient problems for nonlinear parabolic differential equations
- Unicity in an inverse problem for an unknown reaction term in a reaction- diffusion equation
- Maximum principles and their applications
- Conditional stability in determination of force terms of heat equations in a rectangle
- Existence results for inverse problems associated with a nonlinear parabolic equation
- Carleman estimates for coefficient inverse problems and numerical applications.
- Inverse problem for the nonlinear heat equation with the final overdetermination
- Data compatibility and conditional stability for an inverse source problem in the heat equation
- Approximate boundary controllability for the heat equation
- An adjoint method for proving identifiability of coefficients in parabolic equations
- Uniqueness and stability of 3D heat sources
- Inverse parabolic problems with the final overdetermination
- Stability analysis for determining a source term in a 1-D advection-dispersion equation
- A uniqueness theorem for a class of nonlinear parabolic inverse problems
- Carleman estimates for parabolic equations and applications
- The Determination of a Parabolic Equation from Initial and Final Data
- Fixed point methods for a nonlinear parabolic inverse coefficient problem
- Determination of an unknown non-homogeneous term in a linear partial differential equation .from overspecified boundary data
- Inverse problems and Carleman estimates
- Structural identification of an unknown source term in a heat equation
- Some inverse problems for the diffusion equation
- An Inverse Problem for the Hydraulic Properties of Porous Media
- An existence result for an inverse problem for a quasilinear parabolic equation
- An inverse parabolic problem for nonlinear source term with nonlinear boundary conditions
- Analysis of an adjoint problem approach to the identification of an unknown diffusion coefficient
- Conditional stability in determining a heat source
- Global uniqueness for inverse parabolic problems with final observation
- Monotonicity and Invertibility of Coefficient-to-Data Mappings for Parabolic Inverse Problems
- Determination of the source term in the heat conduction equation
- Global Lipschitz stability in determining coefficients of the radiative transport equation
- An adjoint problem approach and coarse-fine mesh method for identification of the diffusion coefficient in a linear parabolic equation
- An inverse problem of identifying source coefficient in solute transportation
- Inverse problems for partial differential equations
This page was built for publication: Conditional well-posedness for an inverse source problem in the diffusion equation using the variational adjoint method
