Work

The lifespan of solutions for damped semilinear hyperbolic equation with logarithmic nonlinearity

Year: 2025

Type: conference-paper

Abstract: This paper deals with the hyperbolic equation with strong damping, weak damping, and logarithmic nonlinearity. We prove a finite time blow-up result for high initial energy and the upper bounds of the blow-up time are obtained by using improved Levine’s concavity method. Furthermore, a control function with a small dissipative term is defined to obtain lower bounds of the blow-up time.

Source: Journal of Physics Conference Series

DOI: 10.1088/1742-6596/2964/1/012041

Authors: Ge Zu, Bo Lv

Institution: Northeast Electric Power University

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: diamond

Funders: People's Government of Jilin Province, Education Department of Jilin Province

OpenAlex ID: W4408039685

FWCI:

Cites: 5

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Related to: 10