On Solutions with Compact Spectrum to Nonlinear Klein--Gordon and Schrödinger Equations

DOI10.1137/21M1411330zbMath1486.35017arXiv2109.02187OpenAlexW4224056586MaRDI QIDQ5071211

Andrew Komech

Publication date: 20 April 2022

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.02187

zbMATH Keywords

nonlinear Schrödinger equationnonlinear Klein-Gordon equationTitchmarsh convolution theoremcompact spectrumsoliton resolution conjecturemultifrequency solitary waves

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Periodic solutions to PDEs (35B10) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Soliton solutions (35C08) Time-dependent Schrödinger equations and Dirac equations (35Q41) Second-order semilinear hyperbolic equations (35L71)

Cites Work

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