NEW CLASS OF NON-LINEAR WAVE-EQUATIONS

被引：112

作者：

MEDEIROS, LA

机构：

[1] Institute de Matematica-UFRJ, 20.000 - Rio de Janeiro - R.J.

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1979年 / 69卷 / 01期

关键词：

D O I：

10.1016/0022-247X(79)90192-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we prove the existence and uniqueness of regular solutions for the Cauchy problem for the evolution equation u″ + A2u + (α + M(|A 1 2u|2) Au = 0, suggested by the study of beams and plates. We represent by A a linear operator of a Hilbert space H with norm ∥, α is a real number, and M(λ) > 0 a real function, for λ ≥ 0. © 1979.

引用

页码：252 / 262

页数：11