Existence of quasiperiodic solutions of elliptic equations on \(\mathbb{R}^{N + 1}\) via center manifold and KAM theorems
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Publication:2400599
DOI10.1016/j.jde.2017.02.027zbMath1372.35016OpenAlexW2592147729MaRDI QIDQ2400599
Darío A. Valdebenito, Peter Poláčik
Publication date: 29 August 2017
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2017.02.027
Almost and pseudo-almost periodic solutions to PDEs (35B15) Schrödinger operator, Schrödinger equation (35J10) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems (37K55) Semilinear elliptic equations (35J61) Entire solutions to PDEs (35B08)
Related Items (12)
Further results on quasiperiodic partially localized solutions of homogeneous elliptic equations on \(\mathbb{R}^{N + 1} \) ⋮ Quasi-periodic solution for the complex Ginzburg-Landau equation with continuous spectrum ⋮ Response solution to ill-posed Boussinesq equation with quasi-periodic forcing of Liouvillean frequency ⋮ Existence of quasiperiodic solutions of elliptic equations on the entire space with a quadratic nonlinearity ⋮ The existence of solutions for nonlinear elliptic equations: simple proofs and extensions of a paper by Y. Shi ⋮ Unnamed Item ⋮ An a posteriori KAM theorem for whiskered tori in Hamiltonian partial differential equations with applications to some ill-posed equations ⋮ Stable manifolds to bounded solutions in possibly ill-posed PDEs ⋮ Some generic properties of Schrödinger operators with radial potentials ⋮ A center manifold for second order semilinear differential equations on the real line and applications to the existence of wave trains for the Gurtin–McCamy equation ⋮ Existence of partially localized quasiperiodic solutions of homogeneous elliptic equations on R^{N+1} ⋮ The existence of partially localized periodic-quasiperiodic solutions and related KAM-type results for elliptic equations on the entire space
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