Nodal sets of solutions of equations involving magnetic Schrödinger operator in three dimensions
From MaRDI portal
Publication:3529757
DOI10.1063/1.2738752zbMath1144.81400OpenAlexW2017694045MaRDI QIDQ3529757
Publication date: 14 October 2008
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.2738752
Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Statistical mechanics of superconductors (82D55) NLS equations (nonlinear Schrödinger equations) (35Q55)
Related Items (3)
Unique continuation for stationary and dynamical \(Q\)-tensor system of nematic liquid crystals in dimension three ⋮ Hausdorff measure of critical sets of solutions to magnetic Schrödinger equations ⋮ On the Betti numbers of level sets of solutions to elliptic equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unique continuation and absence of positive eigenvalues for Schrödinger operators. (With an appendix by E. M. Stein)
- Nodal sets of eigenfunctions on Riemannian manifolds
- Eigenfunctions and nodal sets
- On the zero set of the wave function in superconductivity
- Nodal sets for ground states of Schrödinger operators with zero magnetic field in non simply connected domains
- Landau-de Gennes model of liquid crystals and critical wave number
- Estimates of the upper critical field for the Ginzburg-Landau equations of superconductivity
- Surface nucleation of superconductivity in 3-dimensions
- Nodal sets of solutions of elliptic and parabolic equations
- Elliptic Partial Differential Equations of Second Order
- Geometric measure of singular sets of elliptic equations
- Eigenfunctions and Hardy inequalities for a magnetic Schrödinger operator in ℝ2
- Zeros of a complex Ginzburg–Landau order parameter with applications to superconductivity
- Surface superconductivity in 3 dimensions
- Locating the first nodal linein the Neumann problem
- Landau--de Gennes Model of Liquid Crystals with Small Ginzburg--Landau Parameter
- Singular sets of harmonic functions in R^2 and their complexifications in C^2
This page was built for publication: Nodal sets of solutions of equations involving magnetic Schrödinger operator in three dimensions