Global attractor for the hyperbolic modified Swift–Hohenberg equation in RN
A Cauchy problem for the hyperbolic modified Swift–Hohenberg equation in RN with a mildly integrable potential is considered. It is shown that the equation generates a semigroup of global solutions possessing a compact global attractor in H2(RN)×L2(RN), which is characterized as the unstable manifold of the set of stationary solutions.
Authors
- Radosław Czaja (ORCID: https://orcid.org/0000-0003-2245-2916)
- Maria B. Kania (ORCID: https://orcid.org/0000-0001-8881-9421)
Institutions
- University of Silesia in Katowice (PL)
Publication Details
- Journal
- Annales Polonici Mathematici
- Published
- 2026-11-03
- DOI
- https://doi.org/10.4064/ap251122-11-6
- Primary Topic
- Stability and Controllability of Differential Equations
- Type
- article
- Field-Weighted Citation Impact
- 0.00