Inverse problems for advection diffusion equations in admissible geometries

DOI10.1080/03605302.2018.1446163zbMath1405.35235arXiv1704.05598OpenAlexW2963615147WikidataQ129834831 ScholiaQ129834831MaRDI QIDQ4613975

Katya Krupchyk, Gunther Uhlmann

Publication date: 28 January 2019

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.05598

zbMATH Keywords

inverse problemsCarleman estimatescomplex geometric optics solutionsadvection diffusion equation

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Integral geometry (53C65) Boundary value problems on manifolds (58J32) PDEs on manifolds (35R01)

Related Items (9)

Hölder stability estimates in determining the time-dependent coefficients of the heat equation from the Cauchy data set ⋮ Stability estimates in a partial data inverse boundary value problem for biharmonic operators at high frequencies ⋮ Linearized inverse Schrödinger potential problem with partial data and its deep neural network inversion ⋮ Reconstructing a potential perturbation of the biharmonic operator on transversally anisotropic manifolds ⋮ An inverse problem for a time-fractional advection equation associated with a nonlinear reaction term ⋮ Stable determination of a vector field in a non-self-adjoint dynamical Schrödinger equation on Riemannian manifolds ⋮ The attenuated geodesic ray transform on tensors: generic injectivity and stability ⋮ Inverse problems for nonlinear hyperbolic equations with disjoint sources and receivers ⋮ Inverse Boundary Problems for Biharmonic Operators in Transversally Anisotropic Geometries

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Calderón problem with partial data for conductivities with 3/2 derivatives
• Determining the first order perturbation of a polyharmonic operator on admissible manifolds
• Limiting Carleman weights and anisotropic inverse problems
• Partial differential equations. I: Basic theory
• Carleman estimates and inverse problems for Dirac operators
• Functional analysis, Sobolev spaces and partial differential equations
• The boundary problems of physical geodesy
• The analysis of linear partial differential operators. I: Distribution theory and Fourier analysis.
• 30 years of Calderón's problem
• Uniqueness in an inverse boundary problem for a magnetic Schrödinger operator with a bounded magnetic potential
• Determining a magnetic Schrödinger operator from partial Cauchy data
• The Calderón problem with partial data
• Determining nonsmooth first order terms from partial boundary measurements
• Recovering the conductivity at the boundary from the Dirichlet to Neumann map: a pointwise result
• Uniqueness in the Calderón problem with partial data for less smooth conductivities
• Sharp boundary estimates for elliptic operators
• Determining an Unbounded Potential from Cauchy Data in Admissible Geometries
• Sobolev Spaces, Their Generalizations and Elliptic Problems in Smooth and Lipschitz Domains
• A Uniqueness Result for an Inverse Problem of the Steady State Convection-Diffusion Equation
• Identifiability at the boundary for first-order terms

This page was built for publication: Inverse problems for advection diffusion equations in admissible geometries