A necessary and sufficient condition of blow-up for a nonlinear equation

Abstract We investigate a nonlinear equation with quadratic nonlinearities, including a nonlinear model in Silva and Freire (J. Differ. Equ. 320:371–398, 2022). Using the classical energy estimate methods, we give a necessary and sufficient condition of blow-up of solutions to nonlinear equations. W...

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Bibliographic Details
Main Authors: Miao Liu, Jiangang Tang, Shaoyong Lai
Format: Article
Language:English
Published: SpringerOpen 2023-03-01
Series:Boundary Value Problems
Subjects:
Online Access:https://doi.org/10.1186/s13661-023-01716-3