2 papers
math.AP2011
Existence, blow-up and exponential decay estimates for a nonlinear wave equation with boundary conditions of two-point type
Le Xuan Truong, Le Thi Phuong Ngoc, Alain Pham Ngoc Dinh +1
This paper is devoted to study a nonlinear wave equation with boundary conditions of two-point type. First, we state two local existence theorems and under suitable conditions, we…
math.AP2007
Existence and Decay of Solutions of a Nonlinear Viscoelastic Problem with a Mixed Nonhomogeneous Condition
Long Nguyen Thanh, Alain Pham Ngoc Dinh, Le Xuan Truong
We study the initial-boundary value problem for a nonlinear wave equation given by u_{tt}-u_{xx}+\int_{0}^{t}k(t-s)u_{xx}(s)ds+ u_{t}^{q-2}u_{t}=f(x,t,u) , 0 < x < 1, 0 < t < T, u_…