We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
On a logarithmic wave equation with nonlinear dynamical boundary conditions: local existence and blow-up.
- Authors
Irkıl, Nazlı; Mahdi, Khaled; Pişkin, Erhan; Alnegga, Mohammad; Boulaaras, Salah
- Abstract
This paper deals with a hyperbolic-type equation with a logarithmic source term and dynamic boundary condition. Given convenient initial data, we obtained the local existence of a weak solution. Local existence results of solutions are obtained using the Faedo-Galerkin method and the Schauder fixed-point theorem. Additionally, under suitable assumptions on initial data, the lower bound time of the blow-up result is investigated.
- Subjects
NONLINEAR wave equations; BLOWING up (Algebraic geometry); WAVE equation; PARTIAL differential equations
- Publication
Journal of Inequalities & Applications, 2023, Vol 2023, Issue 1, p1
- ISSN
1025-5834
- Publication type
Article
- DOI
10.1186/s13660-023-03072-3