Local existence of solution for the initial boundary value problem of fully nonlinear wave equation

1987 ◽  
Vol 11 (3) ◽  
pp. 335-365 ◽  
Author(s):  
Yoshihiro Shibata ◽  
Yoshio Tsutsumi
Keyword(s):  
Wave Equation ◽  
Boundary Value Problem ◽  
Nonlinear Wave ◽  
Nonlinear Wave Equation ◽  
Local Existence ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Existence Of Solution ◽  
Fully Nonlinear ◽  
Initial Boundary Value

scholarly journals Blowup of solutions of a nonlinear wave equation

2002 ◽  
Vol 2 (2) ◽  
pp. 105-108 ◽  
Author(s):  
Abbes Benaissa ◽  
Salim A. Messaoudi
Keyword(s):  
Wave Equation ◽  
Boundary Value Problem ◽  
Nonlinear Wave ◽  
Nonlinear Wave Equation ◽  
Boundary Value ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Blowup Of Solutions ◽  
Initial Boundary Value ◽  
Blowup Result

We establish a blowup result to an initial boundary value problem for the nonlinear wave equationutt−M(‖B1/2u‖ 2) Bu+kut=|u| p−2,x∈Ω,t>0.

Asymptotic Behavior of Global Solutions for some Nonlinear Wave Equation

2014 ◽  
Vol 638-640 ◽  
pp. 1691-1694
Author(s):  
Yong Xian Yan
Keyword(s):  
Asymptotic Behavior ◽  
Wave Equation ◽  
Boundary Value Problem ◽  
Nonlinear Wave ◽  
Nonlinear Wave Equation ◽  
Global Solutions ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Damping Term ◽  
Initial Boundary Value

In this paper we study the asymptotic behavior of the global solutions to the initial-boundary value problem of the nonlinear wave equation with damping term by applying a difference inequality.

Global Existence of Solutions for some Nonlinear Wave Equation

2014 ◽  
Vol 638-640 ◽  
pp. 1700-1704
Author(s):  
Yue Hu
Keyword(s):  
Wave Equation ◽  
Global Existence ◽  
Boundary Value Problem ◽  
Nonlinear Wave Equation ◽  
Existence Of Solutions ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Dissipative Term ◽  
Global Existence Of Solutions ◽  
Initial Boundary Value

In this paper, we consider the existence of global solution to the initial-boundary value problem for some hyperbolic equation with P-Laplace operator and a nonlinear dissipative term using the compactness criteria and the monotone mapping’s method.

A shock problem involving a nonlinear viscoelastic bar associated with a nonlinear boundary condition

2008 ◽  
Vol 41 (1) ◽  
Author(s):  
Nguyen Thanh Long ◽  
Vo Giang Giai ◽  
Le Xuan Truong
Keyword(s):  
Boundary Condition ◽  
Wave Equation ◽  
Boundary Value Problem ◽  
Nonlinear Wave Equation ◽  
Nonlinear Boundary ◽  
Nonlinear Boundary Condition ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Nonlinear Viscoelastic ◽  
Initial Boundary Value

AbstractWe study the initial-boundary value problem for a nonlinear wave equation given by

scholarly journals Application of Initial Boundary Value Problem on Logarithmic Wave Equation in Dynamics

2018 ◽  
Author(s):  
Shkelqim Hajrulla ◽  
Leonard Bezati ◽  
Fatmir Hoxha
Keyword(s):  
Wave Equation ◽  
Global Existence ◽  
Boundary Value Problem ◽  
Sobolev Inequality ◽  
Boundary Value ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Logarithmic Sobolev Inequality ◽  
Initial Boundary Value ◽  
The Galerkin Method

We introduce a class of logarithmic wave equation. We study the global existence of week solution for this class of equation. We deal with the initial boundary value problem of this class. Using the Galerkin method and the Gross logarithmic Sobolev inequality we establish the main theorem of existence of week solution for this class of equation arising from Q-Ball Dynamic in particular.

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