Absence of critical points of solutions to the Helmholtz equation in 3D
From MaRDI portal
Publication:338097
DOI10.1007/s00205-016-1013-zzbMath1354.35017arXiv1507.00647OpenAlexW2345436374MaRDI QIDQ338097
Publication date: 4 November 2016
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1507.00647
Related Items (3)
Non-zero constraints in elliptic PDE with random boundary values and applications to hybrid inverse problems ⋮ Critical points for elliptic equations with prescribed boundary conditions ⋮ Admittivity imaging from multi-frequency micro-electrical impedance tomography
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Optimal observability of the multi-dimensional wave and Schrödinger equations in quantum ergodic domains
- Optimal observation of the one-dimensional wave equation
- On a counter-example to quantitative Jacobian bounds
- Admittivity imaging from multi-frequency micro-electrical impedance tomography
- On the rank of harmonic maps
- An identification problem for an elliptic equation in two variables
- Introduction à la théorie des points critiques et applications aux problèmes elliptiques
- Critical sets of solutions to elliptic equations.
- Change of sign of the corrector's determinant for homogenization in three-dimensional conductivity
- Inverse diffusion from knowledge of power densities
- About some hybrid inverse problems
- On multiple frequency power density measurements II. The full Maxwell's equations
- Optimal shape and location of sensors for parabolic equations with random initial data
- Quantitative Estimates on Jacobians for Hybrid Inverse Problems
- On local non-zero constraints in PDE with analytic coefficients
- Reconstruction of Coefficients in Scalar Second-Order Elliptic Equations from Knowledge of Their Solutions
- Mathematics of Hybrid Imaging: A Brief Review
- Multi-frequency acousto-electromagnetic tomography
- Microwave Imaging by Elastic Deformation
- Enforcing Local Non-Zero Constraints in PDEs and Applications to Hybrid Imaging Problems
- The stability for the Cauchy problem for elliptic equations
- Generic Properties of Eigenfunctions
- Elliptic Partial Differential Equations of Second Order
- Generic Properties of Eigenfunctions of Elliptic Partial Differential Operators
- Elliptic Equations in Divergence Form, Geometric Critical Points of Solutions, and Stekloff Eigenfunctions
- Univalent solutions of an elliptic system of partial differential equations arising in homogenization
- Injectivity can fail for higher-dimensional harmonic extensions
- Hybrid inverse problems and internal functionals
- On multiple frequency power density measurements
- Univalent \(\sigma\)-harmonic mappings
This page was built for publication: Absence of critical points of solutions to the Helmholtz equation in 3D