𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Global solution and smoothing effect for a non-local regularization of a hyperbolic equation

✍ Scribed by J. Droniou; T. Gallouët; J. Vovelle

Publisher
Springer
Year
2003
Tongue
English
Weight
226 KB
Volume
3
Category
Article
ISSN
1424-3199

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Global smooth solution for a coupled non
Global smooth solution for a coupled non-linear wave equations
✍ Guo Boling; Tan Shaobin 📂 Article 📅 1991 🏛 John Wiley and Sons 🌐 English ⚖ 230 KB

## Abstract In this paper, the global existence and uniqueness of smooth solution to the initial‐value problem for coupled non‐linear wave equations are studied using the method of a priori estimates.

Existence and non-existence of global so
Existence and non-existence of global solutions of a non-local wave equation
✍ Azmy S. Ackleh; Keng Deng 📂 Article 📅 2004 🏛 John Wiley and Sons 🌐 English ⚖ 87 KB 👁 1 views

## Abstract We study the initial value problem where $ \|u(\cdot,t)\| = \int \nolimits ^ {\infty} \_ {- \infty}\varphi(x) | u( x,t ) | {\rm{ d }} x$ with φ(__x__)⩾0 and $ \int \nolimits^{\infty} \_ {-\infty} \varphi (x) \, {\rm{d}}x\,= 1$. We show that solutions exist globally for 0<__p__⩽1, while

Behavior of the solution of nonlinear hy
Behavior of the solution of nonlinear hyperbolic equation in a domain with non-smooth boundary
✍ T.S. Hajiev; R.A. Rasulov 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 218 KB

In this paper the estimations of the solution and its derivative with respect to t of the initial boundary value problem for the second order hyperbolic type equation in a domain with non-smooth boundary are obtained. The question of smoothness of the generalized solution of the investigated problem