Blow Up of Solutions to Wave Equations with Combined Logarithmic and Power-Type Nonlinearities
In this paper, we study the initial boundary value problem for wave equations with combined logarithmic and power-type nonlinearities. For arbitrary initial energy, we prove a necessary and sufficient condition for blow up at infinity of the global weak solutions. In addition, we derive a growth estimate for the blowing up global solutions.
Authors
- Natalia Kolkovska (ORCID: https://orcid.org/0000-0002-4695-7014)
- Milena Dimova (ORCID: https://orcid.org/0000-0002-2690-4169)
- Nikolai Kutev
Institutions
- University of National and World Economy (BG)
- Bulgarian Academy of Sciences (BG)
- Institute of Mathematics and Informatics (BG)
Publication Details
- Journal
- Axioms
- Published
- 2024-10-14
- DOI
- https://doi.org/10.3390/axioms13100709
- Citations
- 2
- Primary Topic
- Stability and Controllability of Differential Equations
- Type
- article
- Field-Weighted Citation Impact
- 0.66