An inverse coefficient problem for the heat equation in the case of nonlocal boundary conditions
From MaRDI portal
Publication:714067
DOI10.1016/j.jmaa.2012.06.046zbMath1248.35234OpenAlexW2094140226MaRDI QIDQ714067
Nazim B. Kerimov, Mansur I. Ismailov
Publication date: 19 October 2012
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.06.046
Heat equation (35K05) Inverse problems for PDEs (35R30) Overdetermined systems of PDEs with variable coefficients (35N10)
Related Items
The Fourier spectral method for determining a heat capacity coefficient in a parabolic equation, Time-dependent lowest term estimation in a 2D bioheat transfer problem with nonlocal and convective boundary conditions, Identification of a time-dependent coefficient in heat conduction problem by new iteration method, On application of inverse problems with the nonlocal boundary conditions in the diffusion theory, On approximation of coefficient inverse problems for differential equations in functional spaces, Inverse Problem for Source Function in Parabolic Equation at Neumann Boundary Conditions, Determination of one unknown thermal coefficient through a mushy zone model with a convective overspecified boundary condition, On some nonlocal inverse boundary problem for partial differential equations of third order, Recovering source term and temperature distribution for nonlocal heat equation, Linear inverse problems for the heat equation and non-local boundary value problems with generalized Samarskii-Ionkin condition, On determining the source function in heat and mass transfer problems under integral overdetermination conditions, Solvability and Blow-up of Solutions of Semi Linear Parabolic Problem with Integral Condition of Second Type, An inverse problem of finding a time-dependent coefficient in a fractional diffusion equation, Inverse problems for a quasilinear parabolic system with integral overdetermination conditions, Some classes of inverse problems of determining the source function in convection-diffusion systems, A note on existence and uniqueness of solutions for a 2D bioheat problem, An inverse time-dependent source problem for the heat equation, Determination of a time-dependent heat source from nonlocal boundary conditions, Inverse time-dependent source problems for the heat equation with nonlocal boundary conditions, Inverse coefficient problem for a second‐order elliptic equation with nonlocal boundary conditions, A Numerical Method of Solving the Coefficient Inverse Problem for the Nonlinear Equation of Diffusion-Reaction, The solution of initial-boundary value problems with non-local boundary conditions using exponential basis functions, Inverse source problem for a time-fractional diffusion equation with nonlocal boundary conditions, An inverse diffusion problem with nonlocal boundary conditions, Time-dependent perfusion coefficient estimation in a bioheat transfer problem
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Uniqueness and stability of the minimizer for a binary functional arising in an inverse heat conduction problem
- An inverse problem of finding a parameter in a semi-linear heat equation
- An inverse problem of identifying the coefficient of parabolic equation
- Identifying the radiative coefficient of an evolutional type heat conduction equation by optimization method
- The basis problem of the eigenfunctions of ordinary differential operators with integral boundary conditions
- Diffusion subject to the specification of mass
- Determination of source parameter in parabolic equations
- An inverse coefficient problem for a parabolic equation in the case of nonlocal boundary and overdetermination conditions
- Inverse parabolic problems with the final overdetermination
- The Determination of a Parabolic Equation from Initial and Final Data
- ON THE BASIS PROBLEM OF THE EIGENFUNCTIONS OF AN ORDINARY DIFFERENTIAL OPERATOR
- Determination of a control parameter in a parabolic partial differential equation
- ON CERTAIN INVERSE PROBLEMS FOR PARABOLIC EQUATIONS WITH FINAL AND INTEGRAL OBSERVATION
- Optimization method for an evolutional type inverse heat conduction problem
- Simultaneous determination of unknown coefficients in a parabolic equation
- A boundary value problem in the theory of heat conduction with a nonclassical boundary condition
- Inverse Problem with Free Boundary for Heat Equation
- On the Nature of the Spectrum of Singular Second Order Linear Differential Equations
- An inverse problem for the heat equation