Inverse problem on a tree-shaped network: unified approach for uniqueness
From MaRDI portal
Publication:3452453
DOI10.1080/00036811.2014.985214zbMath1330.35486OpenAlexW2076096700WikidataQ58278658 ScholiaQ58278658MaRDI QIDQ3452453
Lucie Baudouin, Masahiro Yamamoto
Publication date: 12 November 2015
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036811.2014.985214
Inverse problems for PDEs (35R30) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)
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Cites Work
- Unnamed Item
- Carleman estimates for the Schrödinger equation and applications to an inverse problem and an observability inequality
- Global Carleman estimate on a network for the wave equation and application to an inverse problem
- Semigroups of linear operators and applications to partial differential equations
- Uniqueness and stability in multidimensional hyperbolic inverse problems
- Global uniqueness and stability for a class of multidimensional inverse hyperbolic problems with two unknowns.
- A general approximation of quantum graph vertex couplings by scaled Schrödinger operators on thin branched manifolds
- Wave propagation, observation and control in 1-\(d\) flexible multi-structures.
- Global Lipschitz stability in an inverse hyperbolic problem by interior observations
- GLOBAL UNIQUENESS AND STABILITY IN DETERMINING COEFFICIENTS OF WAVE EQUATIONS
- Global Carleman Estimates for Waves and Applications
- Carleman estimates for global uniqueness, stability and numerical methods for coefficient inverse problems
- Generic well-posedness in a multidimensional hyperbolic inverse problem
- Boundary spectral inverse problem on a class of graphs (trees) by the BC method
- Inverse problem for the heat equation and the Schrödinger equation on a tree
- On an inverse problem for tree-like networks of elastic strings
- A global Carleman estimate in a transmission wave equation and application to a one-measurement inverse problem
- On the Modelling and Exact Controllability of Networks of Vibrating Strings
- Inverse problems and Carleman estimates
- Observation and Control of Vibrations in Tree-shaped Networks of Strings
- Uniqueness and stability in an inverse problem for the Schr dinger equation
- Inverse problems for the Schrödinger equation via Carleman inequalities with degenerate weights
- Graph models for waves in thin structures