Lipschitz Stability in Inverse Source and Inverse Coefficient Problems for a First- and Half-order Time-fractional Diffusion Equation
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Publication:5218231
DOI10.1137/18M1235776zbMath1431.35229arXiv1811.06223OpenAlexW3007430728MaRDI QIDQ5218231
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Publication date: 2 March 2020
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1811.06223
Related Items (2)
Lipschitz stability analysis of fractional-order impulsive delayed reaction-diffusion neural network models ⋮ Inverse problems for a half-order time-fractional diffusion equation in arbitrary dimension by Carleman estimates
Cites Work
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- Initial-boundary value problems for multi-term time-fractional diffusion equations with positive constant coefficients
- Inverse source problem with a final overdetermination for a fractional diffusion equation
- Well-posedness of the Basset problem in spaces of smooth functions
- Initial-boundary-value problems for the generalized multi-term time-fractional diffusion equation
- Local stability for an inverse coefficient problem of a fractional diffusion equation
- Asymptotic dynamics of inertial particles with memory
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Lipschitz stability estimates in inverse source problems for a fractional diffusion equation of half order in time by Carleman estimates
- Hölder stability estimate in an inverse source problem for a first and half order time fractional diffusion equation
- Carleman estimates for coefficient inverse problems and numerical applications.
- Strong maximum principle for multi-term time-fractional diffusion equations and its application to an inverse source problem
- Characterization of the flow for a single fluid in an excavation damaged zone
- Maximum principle for the generalized time-fractional diffusion equation
- Uniqueness in inverse boundary value problems for fractional diffusion equations
- Carleman estimates for global uniqueness, stability and numerical methods for coefficient inverse problems
- Exact solution of two-term time-fractional Thornley's problem by operational method
- Carleman estimate for a fractional diffusion equation with half order and application
- Conditional stability in determining a zeroth-order coefficient in a half-order fractional diffusion equation by a Carleman estimate
- Equation of motion for a small rigid sphere in a nonuniform flow
- Carleman estimates for parabolic equations and applications
- Inverse problems and Carleman estimates
- Lipschitz stability in inverse parabolic problems by the Carleman estimate
- Controllability of parabolic equations
- Uniqueness for inverse problems of determining orders of multi-term time-fractional derivatives of diffusion equation
- Weak unique continuation property and a related inverse source problem for time-fractional diffusion-advection equations
- Carleman estimates for the time-fractional advection-diffusion equations and applications
- HOMOGENIZATION OF A SINGLE PHASE FLOW THROUGH A POROUS MEDIUM IN A THIN LAYER
- Inverse problems for partial differential equations
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