Unique continuation properties of the nonlinear Schrödinger equation
From MaRDI portal
Publication:3123157
DOI10.1017/S0308210500023581zbMath0879.35143OpenAlexW2074345852MaRDI QIDQ3123157
Publication date: 18 January 1998
Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0308210500023581
NLS equations (nonlinear Schrödinger equations) (35Q55) Continuation and prolongation of solutions to PDEs (35B60)
Related Items
Unique continuation properties for one dimensional higher order Schrödinger equations, Uniqueness properties of solutions of Schrödinger equations, Unique continuation for the symmetric regularized long wave equation, On unique continuation for the generalized Schrödinger equations, Unique continuation property for the Zakharov-Kuznetsov equation, Unique continuation for the Schrödinger equation with gradient term, Exponential stability for the nonlinear Schrödinger equation with locally distributed damping, Global unique continuation from a half space for the Schrödinger equation, Uniqueness properties of solutions to Schrödinger equations, Observability inequality at two time points for the KdV equation from measurable sets, Unique continuation properties of the higher order nonlinear Schrödinger equations in one dimension, Observability and unique continuation inequalities for the Schrödinger equation, \(L^p\) Carleman inequalities and uniqueness of solutions of nonlinear Schrödinger equations, Qualitative aspects for the cubic nonlinear Schrödinger equations with localized damping: exponential and polynomial stabilization, On unique continuation for nonlinear Schrödinger equations, Observability Inequality at Two Time Points for KdV Equations, Global Carleman estimate and its applications for a sixth-order equation related to thin solid films, Optimal control problem for nonlinear optical communications systems, Exponential stabilization for the nonlinear Schrödinger equation with localized damping
Cites Work
- Unique continuation and absence of positive eigenvalues for Schrödinger operators. (With an appendix by E. M. Stein)
- Carleman inequalities for the Dirac and Laplace operators and unique continuation
- Unique continuation for some evolution equations
- Uniform Sobolev inequalities and unique continuation for second order constant coefficient differential operators
- Sur l'unicité du problème de Cauchy et le prolongement unique pour des équations elliptiques à coefficients non localement bornes
- Weighted Sobolev spaces and rapidly decreasing solutions of some nonlinear dispersive wave equations
- On a class of nonlinear Schrödinger equations. II. Scattering theory, general case
- On propagation speed of evolution equations
- Uniqueness in Cauchy problems for differential equations with constant leading coefficients
- Unicité du prolongement des solutions pour quelques opérateurs différentiels paraboliques
- Uniqueness theorems for second order elliptic differential equations
- Unique Continuation for the Korteweg–de Vries Equation
- Inverse scattering on the line
- The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
- The problem of the three-dimensional localization of thermal perturbations in the theory of non-linear heat conduction