Work

Smooth dynamics of a sup-cubic wave equation with delays

Year: 2025

Type: article

Abstract: We establish the existence of a time-dependent exponential smooth attractor for a weakly damped wave equations with sup-cubic nonlinearity and hereditary effects in a 3D bounded domain. Our methods are mainly based on the recent extension of Strichartz estimates to the case of bounded domains, a more general criterion constructed by the quasi-stable technique and the standard bootstrapping technique.

Source: Boundary Value Problems

DOI: 10.1186/s13661-025-01993-0

Authors: Hongfang Li, Qi Jia, Feng Zhou, Kaixuan Zhu, Xin Li

Institutions: China University of Petroleum, East China, Hunan University of Arts and Science, Yanshan University

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,890

Funders: National Natural Science Foundation of China, Natural Science Foundation of Hainan Province, Natural Science Foundation of Shandong Province