The existence of exponentially decreasing solutions to time dependent hyperbolic systems
DOI10.1016/J.JMAA.2021.125199zbMath1471.35042OpenAlexW3149443038WikidataQ115570213 ScholiaQ115570213MaRDI QIDQ2033223
Publication date: 14 June 2021
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2021.125199
hyperbolic systemsinfinite-dimensional systemsfinite-dimensional systemsinitial datumexponentially decreasing solutions
Asymptotic behavior of solutions to PDEs (35B40) Lattice dynamics and infinite-dimensional dissipative dynamical systems (37L60) Lattice dynamics; integrable lattice equations (37K60) Ginzburg-Landau equations (35Q56) Integrable difference and lattice equations; integrability tests (39A36)
Cites Work
- A Kolmogorov theorem for nearly integrable Poisson systems with asymptotically decaying time-dependent perturbation
- The variational iteration method for rational solutions for KdV, \(K(2,2)\), Burgers, and cubic Boussinesq equations
- Quasi-periodic solutions of nonlinear Schrödinger equations of higher dimension.
- Homoclinic solutions for a kind of prescribed mean curvature Duffing-type equation
- Persistence of Diophantine flows for quadratic nearly integrable Hamiltonians under slowly decaying aperiodic time dependence
- Wave interactions in the singular Zakharov system
- Breaking Homoclinic Connections for a Singularly Perturbed Differential Equation and the Stokes Phenomenon
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