摘要
本文研究了出自一维粘弹性力学的一类四阶拟线性发展方程的第一初边值问题、周期边值问题和初值问题。用Galerkin方法证明了在大初值条件下整体广义解和整体古典解的存在性、唯一性和正则性。
The first bourdary value problem, the periodic bourdary value problem and the initial value problem for a class of quasilinear evolution equations of the fourth order arising from one dimensional viscoelasticity are studied. The existence, uniqueness and regularities of the generalized global solution and the classical global solution for the problems with large initial data are proved by Galerkin method.
出处
《郑州大学学报（自然科学版）》
CAS
1993年第2期13-20,共8页
Journal of Zhengzhou University (Natural Science)
