Szczegóły publikacji
Opis bibliograficzny
Global well-posedness for a class of fourth-order nonlinear strongly damped wave equations / Wei Lian, Vicenţiu D. RĂDULESCU, Runzhang Xu, Yanbing Yang, Nan Zhao // Advances in Calculus of Variations ; ISSN 1864-8258. — 2021 — vol. 14 iss. 4, s. 589–611. — Bibliogr., Abstr. — Publikacja dostępna online od: 2019-09-11. — V. D. Rădulescu - dod. afiliacje: Institute of Mathematics, Physics and Mechanics, Ljubljana, Slovenia ; University of Craiova, Craiova, Romania
Autorzy (5)
- Lian Wei
- AGHRǎdulescu Vicenţiu
- Xu Runzhang
- Yang Yanbing
- Zhao Nan
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 137565 |
|---|---|
| Data dodania do BaDAP | 2021-11-16 |
| DOI | 10.1515/acv-2019-0039 |
| Rok publikacji | 2021 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Czasopismo/seria | Advances in Calculus of Variations |
Abstract
In this paper, we consider the initial boundary value problem for a class of fourth-order wave equations with strong damping term, nonlinear weak damping term, strain term and nonlinear source term in polynomial form. First, the local solution is obtained by using fix point theory. Then, by constructing the potential well structure frame, we get the global existence, asymptotic behavior and blowup of solutions for the subcritical initial energy and critical initial energy respectively. Ultimately, we prove the blowup in finite time of solutions for the arbitrarily positive initial energy case.
