Existence and blow up of solution for a Petrovsky equations of Hartree type
In this work, we establish the initial boundary value problem of a class of Petrovsky equation of Hartree-type. We prove the global existence of weak solutions by applying potential well theory. Furthermore, we investigate the blow-up phenomena of solutions under nonnegative or negative initial energy conditions.
Authors
- Ayşe Fidan (ORCID: https://orcid.org/0000-0001-6988-8333)
- Loay Alkhalifa (ORCID: https://orcid.org/0000-0002-5354-5448)
- Erhan Pışkın (ORCID: https://orcid.org/0000-0001-6587-4479)
- Sofian Abuelbacher Adam Saad
- Mohamed Abdalla (ORCID: https://orcid.org/0000-0002-0165-4992)
Institutions
- Dicle University (TR)
- Qassim University (SA)
- King Khalid University (SA)
Publication Details
- Journal
- Discrete and Continuous Dynamical Systems - S
- Published
- 2025-03-07
- DOI
- https://doi.org/10.3934/dcdss.2025026
- Citations
- 1
- Primary Topic
- Advanced Mathematical Physics Problems
- Type
- article
- Field-Weighted Citation Impact
- 3.69
Funders
- King Khalid University