Determine the special term of a two-dimensional heat source
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Publication:5321885
DOI10.1080/00036810902889534zbMath1172.35409arXiv0807.1806OpenAlexW2028263097WikidataQ58292480 ScholiaQ58292480MaRDI QIDQ5321885
Pham Ngoc Dinh, Alain, Phan Thành Nam, Dang Duc Trong
Publication date: 16 July 2009
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0807.1806
Initial-boundary value problems for second-order parabolic equations (35K20) Heat equation (35K05) Ill-posed problems for PDEs (35R25)
Related Items (8)
The body force in a three-dimensional Lamé system: identification and regularization ⋮ Determination of a term in the right-hand side of parabolic equations ⋮ Identifying an unknown source term of a parabolic equation in Banach spaces ⋮ Detection of time-varying heat sources using an analytic forward model ⋮ Determination of a spacewise-dependent heat source by a logarithmic-type regularization method ⋮ Convergence analysis of a Crank-Nicolson Galerkin method for an inverse source problem for parabolic equations with boundary observations ⋮ Identifying an unknown source term in a heat equation with time-dependent coefficients ⋮ Hölder-Type Approximation for the Spatial Source Term of a Backward Heat Equation
Cites Work
- Some stability estimates for a heat source in terms of overspecified data in the 3-D heat equation
- Determination of the unknown sources in the heat-conduction equation
- Conditional stability in determination of force terms of heat equations in a rectangle
- Determination of a two-dimensional heat source: uniqueness, regularization and error estimate
- The boundary-element method for the determination of a heat source dependent on one variable
- Nonhomogeneous heat equation: identification and regularization for the inhomogeneous term
- Simultaneous reconstruction of the initial temperature and heat radiative coefficient
- Uniqueness and stability of 3D heat sources
- Conditional stability in determining a heat source
- Reconstruction of spatial heat sources in heat conduction problems
- Determination of an Unknown Heat Source from Overspecified Boundary Data
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