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

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

In this paper, we investigate the global behavior of the weak solutions to the initial boundary value problem for the nonlinear wave equation in a bounded domain. The nonlinearity includes a logarithmic term and several power-type terms with nonnegative variable coefficients. Two new necessary and s...

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Bibliographic Details
Main Authors: Milena Dimova, Natalia Kolkovska, Nikolai Kutev
Format: Article
Language:English
Published: MDPI AG 2025-01-01
Series:Mathematics
Subjects:
nonlinear wave equation
combined logarithmic nonlinearities
blow up at infinity
blow up for a finite time
Online Access:https://www.mdpi.com/2227-7390/13/2/319
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