An inverse problem of identifying the coefficient in a nonlinear parabolic equation
From MaRDI portal
Publication:1044501
DOI10.1016/j.na.2009.06.014zbMath1181.35325OpenAlexW2005682933MaRDI QIDQ1044501
Zui-Cha Deng, Jian-Ning Yu, Liu Yang, Guan-Wei Luo
Publication date: 18 December 2009
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2009.06.014
Variational inequalities (49J40) Stability in context of PDEs (35B35) Inverse problems for PDEs (35R30) Existence theories for optimal control problems involving partial differential equations (49J20)
Related Items
Determination of the time-dependent reaction coefficient and the heat flux in a nonlinear inverse heat conduction problem, Determination of one unknown thermal coefficient through a mushy zone model with a convective overspecified boundary condition, An inverse problem of identifying the coefficient in a nonlinear time-fractional diffusion equation, A note on the existence and stability of an inverse problem for a SIS model, Simultaneous identification of two parameters on the reaction diffusion system from discrete measurement data, Numerical identification of a nonlinear diffusion coefficient by discrete mollification, On the existence and uniqueness of an inverse problem in epidemiology, Simultaneous identification of two time independent coefficients in a nonlinear phase field system, Solving the inverse problem of an SIS epidemic reaction-diffusion model by optimal control methods, Uniqueness and stability of the minimizer for a binary functional arising in an inverse heat conduction problem, Two dimensional determination of source terms in linear parabolic equation from the final overdetermination, A total variation regularization method for an inverse problem of recovering an unknown diffusion coefficient in a parabolic equation, Vascular blood flow reconstruction with contrast-enhanced computerized tomography, Kinetics for reduction of iron ore based on the phase space reconstruction
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Fourth-order techniques for identifying a control parameter in the parabolic equations
- 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 heat conduction equations from discrete measurement data
- An inverse problem of finding a source parameter in a semilinear parabolic equation
- Existence results for inverse problems associated with a nonlinear parabolic equation
- Finding a control parameter in one-dimensional parabolic equations
- Determination of a control function in three-dimensional parabolic equations
- Determination of a control parameter in a one-dimensional parabolic equation using the method of radial basis functions
- An inverse problem of determining the implied volatility in option pricing
- Identifying the coefficient of first-order in parabolic equation from final measurement data
- Parameter determination in a partial differential equation from the overspecified data
- Solving an inverse parabolic problem by optimization from final measurement data
- Identifying the volatility of underlying assets from option prices
- Simultaneous reconstruction of the initial temperature and heat radiative coefficient
- An inverse parabolic problem with non-zero initial condition
- 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
- One new strategy for a priori choice of regularizing parameters in Tikhonov's regularization
- A new well-posed algorithm to recover implied local volatility
- Identification of a time-dependent coefficient in a partial differential equation subject to an extra measurement
- Generic well-posedness of an inverse parabolic problem - the Hölder-space approach
- Optimization method for an evolutional type inverse heat conduction problem
- Tikhonov regularization applied to the inverse problem of option pricing: convergence analysis and rates
- Equivalent Norms for Sobolev Spaces
- Inverse problems for partial differential equations
- Determination of a control parameter in the two-dimensional diffusion equation
