Stability in \(L^q\)-norm for inverse source parabolic problems
From MaRDI portal
Publication:2660790
DOI10.1515/jiip-2019-0081zbMath1461.35239OpenAlexW3035683690MaRDI QIDQ2660790
Publication date: 31 March 2021
Published in: Journal of Inverse and Ill-Posed Problems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/jiip-2019-0081
One-parameter semigroups and linear evolution equations (47D06) Inverse problems for PDEs (35R30) Observability (93B07) PDEs in connection with control and optimization (35Q93) Initial-boundary value problems for second-order parabolic systems (35K51)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Internal feedback stabilization of nonstationary solutions to semilinear parabolic systems
- Semigroups of linear operators and applications to partial differential equations
- Imaginary powers of elliptic second order differential operators in \(L^ p\)-spaces
- Carleman inequalities for parabolic equations in Sobolev spaces of negative order and exact controllability for semilinear parabolic equations
- Exact controllability of the superlinear heat equation
- Positive and negative results on the internal controllability of parabolic equations coupled by zero- and first-order terms
- The Carleman inequality for linear parabolic equations in \(L^q\) norm.
- Controllability results for cascade systems of \(m\) coupled parabolic PDEs by one control force
- Approximate controllability for an integro-differential control problem
- Null Controllability of a Parabolic System with a Cubic Coupling Term
- Feedback Stabilization of Magnetohydrodynamic Equations
- Internal Exponential Stabilization to a Nonstationary Solution for 3D Navier–Stokes Equations
- Lipschitz stability in inverse parabolic problems by the Carleman estimate
- Controllability to the Trajectories of Phase-Field Models by One Control Force
- On the Controllability of Parabolic Systems with a Nonlinear Term Involving the State and the Gradient
- Controllability for blowing up semilinear parabolic equations
- Controllability and nonlinearity
- Control of Three Heat Equations Coupled with Two Cubic Nonlinearities
- Inverse problems for partial differential equations
- The cost of approximate controllability for heat equations: The linear case
This page was built for publication: Stability in \(L^q\)-norm for inverse source parabolic problems