Finite time blow-up for damped wave equations with space–time dependent potential and nonlinear memory

2018 ◽  
Vol 25 (5) ◽  
Author(s):  
I. Dannawi ◽  
M. Kirane ◽  
A. Z. Fino
Keyword(s):  
Finite Time ◽  
Wave Equations ◽  
Blow Up ◽  
Space Time ◽  
Time Dependent ◽  
Nonlinear Memory ◽  
Dependent Potential

scholarly journals Global existence and decay estimates for nonlinear wave equations with space-time dependent dissipative term

2015 ◽  
Vol 12 (02) ◽  
pp. 249-276
Author(s):  
Tomonari Watanabe
Keyword(s):  
Global Existence ◽  
Nonlinear Wave ◽  
Wave Equations ◽  
Space Time ◽  
Time Dependent ◽  
Nonlinear Wave Equations ◽  
Energy Estimates ◽  
Space Region ◽  
Decay Estimates ◽  
Dissipative Term

We study the global existence and the derivation of decay estimates for nonlinear wave equations with a space-time dependent dissipative term posed in an exterior domain. The linear dissipative effect may vanish in a compact space region and, moreover, the nonlinear terms need not be in a divergence form. In order to establish higher-order energy estimates, we introduce an argument based on a suitable rescaling. The proposed method is useful to control certain derivatives of the dissipation coefficient.

scholarly journals An exact solution of the Dirac equation for a time-dependent Hamiltonian in 1-1 dimension space-time

2010 ◽  
Vol 88 (2) ◽  
pp. 137-138 ◽  
Author(s):  
Dan Solomon
Keyword(s):  
Exact Solution ◽  
Dirac Equation ◽  
Space Time ◽  
Time Dependent ◽  
Dependent Potential ◽  
Dimension Space

We find an exact solution to the Dirac equation in 1–1 dimension space-time in the presence of a time-dependent potential that consists of a combination of electric, scalar, and pseudoscalar terms.

Finite Time Blow Up and Stability of a Semilinear Equation with a Time Dependent Lévy Generator

2006 ◽  
Vol 22 (4) ◽  
pp. 735-752 ◽  
Author(s):  
José Alfredo López Mimbela ◽  
Aroldo Pérez Pérez
Keyword(s):  
Finite Time ◽  
Blow Up ◽  
Time Dependent ◽  
Semilinear Equation

scholarly journals Blow-up of energy solutions for the semilinear generalized Tricomi equation with nonlinear memory term

2021 ◽  
Vol 6 (10) ◽  
pp. 10907-10919
Author(s):  
Jincheng Shi ◽  
◽  
Jianye Xia ◽  
Wenjing Zhi ◽  
◽  
...  
Keyword(s):  
Relaxation Function ◽  
Blow Up ◽  
Combined Effect ◽  
Time Dependent ◽  
Memory Term ◽  
Nonlinear Memory ◽  
Tricomi Equation ◽  
Generalized Tricomi Equation

<abstract><p>In this paper, we investigate blow-up conditions for the semilinear generalized Tricomi equation with a general nonlinear memory term in $ \mathbb{R}^n $ by using suitable functionals and employing iteration procedures. Particularly, a new combined effect from the relaxation function and the time-dependent coefficient is found.</p></abstract>

Sign in / Sign up

Export Citation Format

Share Document