一类非线性发展方程组的初边值问题
Initial Boundary Value Problem for a Class of Nonlinear Evolution Systems
摘要:
本文研究了一类四阶非线性波动方程组的初边值问题，用Glerkin方法证明了其整体强解的存在性和唯一性。
Abstract: In this paper, we study the initial boundary value problem for a class of fourth order nonlinear wave equations the existence and uniqueness of global strong solution for the problem are obtained by means of the Galerkin method.
参考文献
|
[1]
|
朱位秋. 弹性杆中的非线性波[J]. 固体力学学报, 1980, 1(2): 247-253.
|
|
[2]
|
尚亚东. 一类四阶非线性波动方程的初边值问题[J]. 应用数学. 2000, 13(1): 7-11.
|
|
[3]
|
J. Sather. The existence of a global classical solution of the initial boundary value problem for . Archive for Rational Mechanics and Analysis, 1966, 22(4): 292-307.
|
|
[4]
|
J. L. Lions, 著, 郭柏灵等, 译. 非线性边值问题的一些解法[M]. 广州: 中山大学出版社, 1992.
|