This paper studies the existence of global solutions to the initial-boundary value problem for some nonlinear degenerate wave equations by means of compactness method and the potential well idea. Meanwhile, we investigate the decay estimate of the energy of the global solutions to this problem by using a difference inequality. Copyright © 2007 Yaojun Ye. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and repro-duction in any medium, provided the original work is properly cited. 1
We consider the Cauchy problem for nonlinear abstract wave equations in a Hilbert space. Our main go...
We give an existence theorem of global solution to the initial-boundary value problem for [formula] ...
In this work, we consider the problem of existence of global solu-tions for a scalar wave equation w...
This paper studies the existence of global solutions to the initial-boundary value problem for some ...
AbstractWe study the global existence of solutions of the nonlinear degenerate wave equation (ρ⩾0) (...
AbstractThe paper studies the global existence, asymptotic behavior and blowup of solutions to the i...
We study the existence, uniqueness and decay properties of solutions to the initial-boundary value p...
We study the initial boundary value problem of an edge-degenerate wave equation. The operator $\Del...
In this article we focus on the global well-posedness of the differential equation u [...] in Omega ...
National audienceWe prove some results about existence, uniqueness and regularity properties of glob...
Copyright © 2014 Daewook Kim et al. This is an open access article distributed under the Creative Co...
Abstract. We study on the initial-bountary value problem for some degenerate non-linear dissipative ...
This is the publisher’s final pdf. The published article is copyrighted by the author(s) and publish...
The initial boundary value problem for a class of nonlinear higher-order wave equation with damping ...
In this article we focus on the global well-posedness of the differential equation u tt - Δu + |u| k...
We consider the Cauchy problem for nonlinear abstract wave equations in a Hilbert space. Our main go...
We give an existence theorem of global solution to the initial-boundary value problem for [formula] ...
In this work, we consider the problem of existence of global solu-tions for a scalar wave equation w...
This paper studies the existence of global solutions to the initial-boundary value problem for some ...
AbstractWe study the global existence of solutions of the nonlinear degenerate wave equation (ρ⩾0) (...
AbstractThe paper studies the global existence, asymptotic behavior and blowup of solutions to the i...
We study the existence, uniqueness and decay properties of solutions to the initial-boundary value p...
We study the initial boundary value problem of an edge-degenerate wave equation. The operator $\Del...
In this article we focus on the global well-posedness of the differential equation u [...] in Omega ...
National audienceWe prove some results about existence, uniqueness and regularity properties of glob...
Copyright © 2014 Daewook Kim et al. This is an open access article distributed under the Creative Co...
Abstract. We study on the initial-bountary value problem for some degenerate non-linear dissipative ...
This is the publisher’s final pdf. The published article is copyrighted by the author(s) and publish...
The initial boundary value problem for a class of nonlinear higher-order wave equation with damping ...
In this article we focus on the global well-posedness of the differential equation u tt - Δu + |u| k...
We consider the Cauchy problem for nonlinear abstract wave equations in a Hilbert space. Our main go...
We give an existence theorem of global solution to the initial-boundary value problem for [formula] ...
In this work, we consider the problem of existence of global solu-tions for a scalar wave equation w...