Blow Up in a Nonlinearly Damped Wave Equation

By Salim A. Messaoudi. 2001

153 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Control and Systems Engineering, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/55746251dfaba719e87929485ec897689bdb6825

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In Computational Theory and Mathematics

In Control and Systems Engineering

In Mathematical Physics

Citations in the corpus

Blow up and global existence in a nonlinear viscoelastic wave equation (2003, methodology): “Our technique of proof is similar to the one in [17] with some necessary modifications due the nature of the problem treated here.”
Blow‐up of solutions for a viscoelastic wave equation with variable exponents (2019, background): “Suppose that (13) has two solutions u and z.”
On the strongly damped wave equation with nonlinear damping and source terms (2009, background): “2 [17] Let m < p, ω ≥ 0, and suppose the conditions (1.”
Exponential decay of solutions to a viscoelastic equation with nonlinear localized damping. (2004, background): “Said Berrimi Math Department, University of Setif, Setif, Algeria E-mail address: berrimi@yahoo.fr Salim A. Messaoudi Mathematical Sciences Department, KFUPM, Dhahran 31261, Saudi Arabia E-mail address: messaoud@kfupm.edu.sa”
A Blow-Up Result in a Nonlinear Wave Equation with Delay (2016, background): “This last blow-up result has been extended to solutions with negative initial energy only by Messaoudi [15] and others.”
Local existence and blow up of solutions to a logarithmic nonlinear wave equation with delay (2018, methodology): “[21] Kafini M, Messaoudi SA.”
Global non‐existence of solutions of a class of wave equations with non‐linear damping and source terms (2004, methodology): “Our technique of proof follows closely the argument of [17] with the modi cations needed for our problem.”
Blow-up of positive-initial-energy solutions of a nonlinear viscoelastic hyperbolic equation (2006, background): “Messaoudi [15] extended the blow-up result of [7] to solutions with only negative initial energy.”
A blow-up result for a nonlinear wave equation with variable-exponent nonlinearities (2017, result): “[12] Messaoudi SA.”