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A note on a class of 4th order hyperbolic problems with weak and strong damping and superlinear source term.

Authors :
Marras, Monica
Vernier-Piro, Stella
Source :
Discrete & Continuous Dynamical Systems - Series S; Jul2020, Vol. 13 Issue 7, p2047-2055, 9p
Publication Year :
2020

Abstract

In this paper we study a initial-boundary value problem for 4th order hyperbolic equations with weak and strong damping terms and superlinear source term. For blow-up solutions a lower bound of the blow-up time is derived. Then we extend the results to a class of equations where a positive power of gradient term is introduced. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
19371632
Volume :
13
Issue :
7
Database :
Complementary Index
Journal :
Discrete & Continuous Dynamical Systems - Series S
Publication Type :
Academic Journal
Accession number :
143306907
Full Text :
https://doi.org/10.3934/dcdss.2020157