Unique continuation for discrete nonlinear wave equations

DOI10.1090/S0002-9939-2011-10980-8zbMath1246.35118arXiv0904.0011OpenAlexW3102714454WikidataQ57343652 ScholiaQ57343652MaRDI QIDQ5389391

Helge Krüger, Gerald Teschl

Publication date: 26 April 2012

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0904.0011

zbMATH Keywords

unique continuationToda latticediscrete nonlinear Schrödinger equationSchur flowAblowitz-Ladik equationsKac-van Moerbeke lattice

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Wave equation (35L05) Discrete version of topics in analysis (39A12) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Lattice dynamics; integrable lattice equations (37K60)

Related Items (4)

Lieb-Robinson bounds for the Toda lattice ⋮ A dynamic uncertainty principle for Jacobi operators ⋮ On uniqueness properties of solutions of the Toda and Kac-van Moerbeke hierarchies ⋮ On the spatial asymptotics of solutions of the Ablowitz–Ladik hierarchy

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• \(L^p\) Carleman inequalities and uniqueness of solutions of nonlinear Schrödinger equations
• Infinite propagation speed of the Camassa-Holm equation
• Hamiltonian methods in the theory of solitons. Transl. from the Russian by A. G. Reyman
• On the spatial asymptotics of solutions of the Toda lattice
• Theory of nonlinear lattices.
• On the unique continuation of solutions to the generalized KdV equation
• On the support of solutions to the generalized KdV equation
• Uniqueness properties of solutions of Schrödinger equations
• On localization in the continuous Anderson-Bernoulli model in higher dimension
• LONG-TIME ASYMPTOTICS OF THE TODA LATTICE FOR DECAYING INITIAL DATA REVISITED
• On the Equivalence of Different Lax Pairs for the Kac-van Moerbeke Hierarchy
• Unique Continuation for the Korteweg–de Vries Equation
• Algebro-geometric quasi-periodic finite-gap solutions of the Toda and Kac-van Moerbeke hierarchies
• The Toda lattice. II. Existence of integrals
• Almost everything you always wanted to know about the Toda equation.

This page was built for publication: Unique continuation for discrete nonlinear wave equations