The stability of Sobolev norms for the linear wave equation with unbounded perturbations
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Publication:6142811
DOI10.1063/5.0157908arXiv2201.01111OpenAlexW4390244993MaRDI QIDQ6142811
Publication date: 4 January 2024
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2201.01111
Wave equation (35L05) Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems (37K55)
Cites Work
- KAM for autonomous quasi-linear perturbations of mKdV
- Quasi-periodic solutions of forced Kirchhoff equation
- On time dependent Schrödinger equations: global well-posedness and growth of Sobolev norms
- Reducibility of 1-d Schrödinger equation with time quasiperiodic unbounded perturbations. II
- Pure point spectrum for discrete almost periodic Schrödinger operators
- KAM for the quantum harmonic oscillator
- A KAM theorem for Hamiltonian partial differential equations with unbounded perturbations
- On reducibility of Schrödinger equations with quasiperiodic in time potentials
- Reducible KAM tori for the Degasperis-Procesi equation
- Periodic and quasi-periodic solutions of nonlinear wave equations via KAM theory
- On growth of Sobolev norms in linear Schrödinger equations with smooth time dependent potential
- Nearly integrable infinite-dimensional Hamiltonian systems
- Discrete one-dimensional quasi-periodic Schrödinger operators with pure point spectrum
- Reducibility of first order linear operators on tori via Moser's theorem
- Reducibility of the quantum harmonic oscillator in \(d\)-dimensions with polynomial time-dependent perturbation
- Growth of Sobolev norms for time dependent periodic Schrödinger equations with sublinear dispersion
- Growth of Sobolev norms in linear Schrödinger equations with quasi-periodic potential
- Reducibility, Lyapunov exponent, pure point spectra property for quasi-periodic wave operator
- On reducibility of 1d wave equation with quasiperiodic in time potentials
- Reducibility of relativistic Schrödinger equation with unbounded perturbations
- Spectral asymptotics of all the eigenvalues of Schrödinger operators on flat tori
- Localization for a class of discrete long-range quasi-periodic operators
- On reducibility of quantum harmonic oscillator on \(\mathbb{R}^d\) with quasiperiodic in time potential
- Quasi-periodic incompressible Euler flows in 3D
- Reducibility for a fast-driven linear Klein-Gordon Equation
- Quasi-periodic solutions for fully nonlinear forced reversible Schrödinger equations
- Reducibility of non-resonant transport equation on \({\mathbb {T}}^d\) with unbounded perturbations
- Reducibility for wave equations of finitely smooth potential with periodic boundary conditions
- KAM for the derivative nonlinear Schrödinger equation with periodic boundary conditions
- KAM for reversible derivative wave equations
- Long time dynamics of Schrödinger and wave equations on flat tori
- Growth of Sobolev norms for abstract linear Schrödinger equations
- Traveling quasi-periodic water waves with constant vorticity
- Growth of Sobolev norms for unbounded perturbations of the Schrödinger equation on flat tori
- Diagonalization in a quantum kicked rotor model with non-analytic potential
- KAM theory for the Hamiltonian derivative wave equation
- Bounded Sobolev norms for Klein-Gordon equations under non-resonant perturbation
- Growth of Sobolev Norms of Solutions of Linear Schrodinger Equations on Some Compact Manifolds
- Spectrum for quantum duffing oscillator and small-divisor equation with large-variable coefficient
- Logarithmic Bounds on Sobolev Norms for Time Dependent Linear Schrödinger Equations
- On the growth of Sobolev norms for a class of linear Schrödinger equations on the torus with superlinear dispersion
- Reducibility of 1-d Schrödinger equation with time quasiperiodic unbounded perturbations. I
- Reducibility of 1-d Schrödinger equation with unbounded time quasiperiodic perturbations. III
- Reducibility of Schrödinger Equation on the Sphere
- Quasi-Periodic Standing Wave Solutions of Gravity-Capillary Water Waves
- Reducibility of Schrödinger equation on a Zoll manifold with unbounded potential
- A Reducibility Result for a Class of Linear Wave Equations on ${\mathbb T}^d$
- A reduction theorem for time dependent Schrödinger operator with finite differentiable unbounded perturbation
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