Work

Blow Up of Solutions to Wave Equations with Combined Logarithmic and Power-Type Nonlinearities

Year: 2024

Type: article

Abstract: 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.

Source: Axioms

DOI: 10.3390/axioms13100709

Authors: Milena Dimova, Natalia Kolkovska, Nikolai Kutev

Institutions: University of National and World Economy, Bulgarian Academy of Sciences, Institute of Mathematics and Informatics

Language: English

Topic: Advanced Mathematical Physics Problems

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,728

OpenAlex ID: W4403455551

FWCI: 1.3

Cites: 37

Cited by: 2

Related to: 10