On the existence of Sobolev quasi-periodic solutions of multidimensional nonlinear beam equation
From MaRDI portal
Publication:2832722
DOI10.1063/1.4964258zbMath1353.35028OpenAlexW2530702020MaRDI QIDQ2832722
Publication date: 14 November 2016
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.4964258
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Quasi-periodic motions and invariant tori for nonlinear problems in mechanics (70K43) Almost and pseudo-almost periodic solutions to PDEs (35B15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Higher-order semilinear hyperbolic equations (35L76) Sobolev (and similar kinds of) spaces of functions of discrete variables (46E39)
Related Items
Construction of quasi-periodic solutions for nonlinear forced perturbations of dissipative Boussinesq systems ⋮ Infinitely many periodic solutions for a semilinear Euler-Bernoulli beam equation with variable coefficients ⋮ Quasi-periodic solutions of derivative beam equation on flat tori ⋮ Quasi-periodic solutions to nonlinear beam equations on compact Lie groups with a multiplicative potential ⋮ PERIODIC AND QUASI-PERIODIC SOLUTIONS FOR THE COMPLEX SWIFT-HOHENBERG EQUATION
Cites Work
- Quasi-periodic solutions of a quasi-periodically forced nonlinear beam equation
- A result on quasi-periodic solutions of a nonlinear beam equation with a quasi-periodic forcing term
- A KAM theorem for Hamiltonian partial differential equations in higher dimensional spaces
- KAM for the nonlinear Schrödinger equation
- KAM tori for higher dimensional beam equation with a fixed constant potential
- Quasi-periodic solutions of Hamiltonian perturbations of 2D linear Schrödinger equations
- On Melnikov's persistency problem
- Anderson localization for Schrödinger operators on \(\mathbb{Z}^2\)with quasi-periodic potential
- Estimates on Green's functions, localization and the quantum kicked rotor model.
- KAM tori of Hamiltonian perturbations of 1D linear beam equations
- Quasi-periodic solutions with Sobolev regularity of NLS on \(\mathbb T^d\) with a multiplicative potential
- An abstract Nash-Moser theorem and quasi-periodic solutions for NLW and NLS on compact Lie groups and homogeneous manifolds
- Anderson localization for quasi-periodic lattice Schrödinger operators on \(\mathbb Z^d\), \(d\) arbitrary
- Quasi-periodic solutions for 1D resonant beam equation
- Sobolev quasi-periodic solutions of multidimensional wave equations with a multiplicative potential
- KAM tori for higher dimensional beam equations with constant potentials*
- Green's Function Estimates for Lattice Schrodinger Operators and Applications. (AM-158)
- Quasi-periodic solutions of nonlinear beam equation with prescribed frequencies
- Quasi-periodic solutions for d-dimensional beam equation with derivative nonlinear perturbation
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item