Increasing stability of the inverse boundary value problem for the Schr\"odinger equation
From MaRDI portal
Publication:3456208
zbMath1330.35531arXiv1302.0940MaRDI QIDQ3456208
Sei Nagayasu, Victor Isakov, Gunther Uhlmann, Jenn-Nan Wang
Publication date: 11 December 2015
Full work available at URL: https://arxiv.org/abs/1302.0940
Schrödinger equationstability estimateinverse boundary value problemcomplex geometrical optics solutions
Stability in context of PDEs (35B35) Inverse problems for PDEs (35R30) Schrödinger operator, Schrödinger equation (35J10) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Geometric optics (78A05)
Related Items
The Calderón Problem for the Fractional Wave Equation: Uniqueness and Optimal Stability, Stability estimates for partial data inverse problems for Schrödinger operators in the high frequency limit, Stability estimates in a partial data inverse boundary value problem for biharmonic operators at high frequencies, On the scientific work of Victor Isakov, Refined instability estimates for some inverse problems, Stable determination of a scattered wave from its far-field pattern: the high frequency asymptotics, Increasing Stability for the Conductivity and Attenuation Coefficients, Inverse Problems for the Stationary Transport Equation in the Diffusion Scaling, Runge approximation and stability improvement for a partial data Calderón problem for the acoustic Helmholtz equation, Increasing stability for determining the potential in the Schrödinger equation with attenuation from the Dirichlet-to-Neumann map, Optimality of Increasing Stability for an Inverse Boundary Value Problem, Increasing stability for the inverse problem of the Schrödinger equation with the partial Cauchy data
