Lipschitz Stability for Backward Heat Equation with Application to Fluorescence Microscopy
From MaRDI portal
Publication:5158395
DOI10.1137/20M1374183zbMath1475.35407arXiv2012.02002OpenAlexW3205129633MaRDI QIDQ5158395
Evelyn Cueva, Benjamín Palacios, Matias Courdurier, Pablo Arratia, Axel Osses
Publication date: 22 October 2021
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2012.02002
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Hitchhiker's guide to the fractional Sobolev spaces
- Fourier regularization for a backward heat equation
- Stability results for the heat equation backward in time
- Unique continuation for some evolution equations
- Stability of Lipschitz type in determination of initial heat distribution
- Carleman inequalities for parabolic equations in Sobolev spaces of negative order and exact controllability for semilinear parabolic equations
- Null controllability in unbounded domains for the semilinear heat equation with nonlinearities involving gradient terms
- Exact controllability for semilinear parabolic equations with Neumann boundary conditions
- IR tools: a MATLAB package of iterative regularization methods and large-scale test problems
- Conditional stability and numerical reconstruction of initial temperature
- On the lack of null-controllability of the heat equation on the half-line
- Lipschitz Stability of an Inverse Boundary Value Problem for a Schrödinger-Type Equation
- Time reversal method with stabilizing boundary conditions for Photoacoustic tomography
- Mathematical modeling for 2D light-sheet fluorescence microscopy image reconstruction
- Inverse transport theory and applications
- Global Uniqueness and Lipschitz-Stability for the Inverse Robin Transmission Problem
- INTERPOLATION OF HILBERT AND SOBOLEV SPACES: QUANTITATIVE ESTIMATES AND COUNTEREXAMPLES
- On the lack of null-controllability of the heat equation on the half space
This page was built for publication: Lipschitz Stability for Backward Heat Equation with Application to Fluorescence Microscopy