Global regular solutions for the nonhomogeneous carrier equation

被引：15

作者：

Larkin, NA ^{[1
]}

机构：

[1] Inst Theoret & Appl Mech, Novosibirsk 630090, Russia

[2] Univ Estadual Maringa, Dept Math, BR-87020900 Maringa, Parana, Brazil

来源：

MATHEMATICAL PROBLEMS IN ENGINEERING | 2002年 / 8卷 / 01期

关键词：

carrier equation; global smooth solutions; existence;

D O I：

10.1080/10241230211382

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We study in a n + 1-dimensional cylinder Q global solvability of the mixed problem for the nonhomogeneous Carrier equation u(n) - M(x, t, parallel tou(t)parallel to(2))Deltau + g(x, t, u(t)) = f(x, t) without restrictions on a size of initial data and f (x, t). For any natural n, we prove existence, uniqueness and the exponential decay of the energy for global generalized solutions. When n = 2, we prove C-infinity (Q)-regularity of solutions.

引用

页码：15 / 31

页数：17

共 8 条

[1] ON THE NON-LINEAR VIBRATION PROBLEM OF THE ELASTIC STRING [J].