Growth of Sobolev Norms of Solutions of Linear Schrodinger Equations on Some Compact Manifolds
From MaRDI portal
Publication:3577915
DOI10.1093/imrn/rnp213zbMath1229.35040OpenAlexW2023760177MaRDI QIDQ3577915
Publication date: 26 July 2010
Published in: International Mathematics Research Notices (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1093/imrn/rnp213
Asymptotic behavior of solutions to PDEs (35B40) Periodic solutions to PDEs (35B10) Elliptic equations on manifolds, general theory (58J05) Schrödinger operator, Schrödinger equation (35J10) Initial value problems for linear higher-order PDEs (35G10)
Related Items (max. 100)
Long time dynamics of Schrödinger and wave equations on flat tori ⋮ Long time stability of small finite gap solutions of the cubic nonlinear Schrödinger equation on \(\mathbb{T}^2\) ⋮ Regularity for evolution equations with non-autonomous perturbations in Banach spaces ⋮ Growth of Sobolev norms for abstract linear Schrödinger equations ⋮ On quantum averaging, quantum KAM, and quantum diffusion ⋮ Growth of Sobolev norms for unbounded perturbations of the Schrödinger equation on flat tori ⋮ On weakly turbulent solutions to the perturbed linear harmonic oscillator ⋮ On growth of Sobolev norms in time dependent linear Schrödinger equations on spheres ⋮ Stability and recursive solutions in Hamiltonian PDEs ⋮ The stability of Sobolev norms for the linear wave equation with unbounded perturbations ⋮ Strong nonlinear instability and growth of Sobolev norms near quasiperiodic finite gap tori for the 2D cubic NLS equation ⋮ Almost global existence for some Hamiltonian PDEs with small Cauchy data on general tori ⋮ On growth of Sobolev norms in linear Schrödinger equations with time dependent Gevrey potential ⋮ Growth of Sobolev norms for time dependent periodic Schrödinger equations with sublinear dispersion ⋮ Permuting quantum eigenmodes by a quasi-adiabatic motion of a potential wall ⋮ Linear Schrödinger Equation with an Almost Periodic Potential ⋮ On time dependent Schrödinger equations: global well-posedness and growth of Sobolev norms ⋮ Growth of Sobolev norms in time dependent semiclassical anharmonic oscillators ⋮ A note on growth of Sobolev norms near quasiperiodic finite-gap tori for the 2D cubic NLS equation ⋮ Chaotic-like transfers of energy in Hamiltonian PDEs ⋮ Chaotic resonant dynamics and exchanges of energy in Hamiltonian PDEs ⋮ Long-time existence for semi-linear beam equations on irrational tori ⋮ Reducibility for a fast-driven linear Klein-Gordon Equation ⋮ Quadratic lifespan and growth of Sobolev norms for derivative Schrödinger equations on generic tori ⋮ Growth of Sobolev norms for linear Schrödinger operators ⋮ Semi-algebraic sets method in PDE and mathematical physics ⋮ Growth of Sobolev norms in linear Schrödinger equations as a dispersive phenomenon ⋮ Variable potentials and dispersive equations
This page was built for publication: Growth of Sobolev Norms of Solutions of Linear Schrodinger Equations on Some Compact Manifolds
