Response Solutions to Quasi-Periodically Forced Systems, Even to Possibly Ill-Posed PDEs, with Strong Dissipation and any Frequency Vectors

DOI10.1137/19M1272159zbMath1448.34117arXiv1907.02835OpenAlexW3042129089WikidataQ114074245 ScholiaQ114074245MaRDI QIDQ3300864

Rafael de la Llave, Fenfen Wang

Publication date: 30 July 2020

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

Full work available at URL: https://arxiv.org/abs/1907.02835

zbMATH Keywords

singular perturbationsstrong dissipationresponse solutions

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Almost and pseudo-almost periodic solutions to PDEs (35B15) Applications of operator theory to differential and integral equations (47N20) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27) Singular perturbations for ordinary differential equations (34E15)

Related Items (10)

Response solutions for strongly dissipative quasi-periodically forced systems with arbitrary nonlinearities and frequencies ⋮ The existence of solutions for nonlinear elliptic equations: simple proofs and extensions of a paper by Y. Shi ⋮ Response solutions in singularly perturbed, quasi-periodically forced nonlinear oscillators ⋮ Persistence of Periodic Orbits under State-dependent Delayed Perturbations: Computer-assisted Proofs ⋮ Quasi-periodic traveling waves for forced Kirchhoff equations with strong damping on flat tori ⋮ The existence of almost periodic response solutions for superlinear Duffing's equations ⋮ Response solutions to the quasi-periodically forced systems with degenerate equilibrium: a simple proof of a result of W Si and J Si and extensions ⋮ The Navier-Stokes equation with time quasi-periodic external force: existence and stability of quasi-periodic solutions ⋮ Stoker's Problem for Quasi-periodically Forced Reversible Systems with Multidimensional Liouvillean Frequency ⋮ Parameterized stable/unstable manifolds for periodic solutions of implicitly defined dynamical systems

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