Academic Journal
Well-Posedness and Blow-Up of Solutions for a Variable Exponent Nonlinear Petrovsky Equation
| العنوان: | Well-Posedness and Blow-Up of Solutions for a Variable Exponent Nonlinear Petrovsky Equation |
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| المؤلفون: | Nebi Yılmaz, Erhan Pişkin, Ercan Çelik |
| المصدر: | Advances in Mathematical Physics, Vol 2023 (2023) |
| بيانات النشر: | Hindawi Limited |
| سنة النشر: | 2023 |
| المجموعة: | Directory of Open Access Journals: DOAJ Articles |
| مصطلحات موضوعية: | Physics, QC1-999 |
| الوصف: | In this article, we investigate a nonlinear Petrovsky equation with variable exponent and damping terms. First, we establish the local existence using the Faedo–Galerkin approximation method under the conditions of positive initial energy and appropriate constraints on the variable exponents p⋅ and q⋅. Finally, we prove a finite-time blow-up result for negative initial energy. |
| نوع الوثيقة: | article in journal/newspaper |
| اللغة: | English |
| Relation: | http://dx.doi.org/10.1155/2023/8866861; https://doaj.org/toc/1687-9139; https://doaj.org/article/1294f0c79e5447bd9ee8c325f032f678 |
| DOI: | 10.1155/2023/8866861 |
| الاتاحة: | https://doi.org/10.1155/2023/8866861 https://doaj.org/article/1294f0c79e5447bd9ee8c325f032f678 |
| رقم الانضمام: | edsbas.40717ECE |
| قاعدة البيانات: | BASE |
| DOI: | 10.1155/2023/8866861 |
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