摘要
本文着眼于对非线性偏微分方程的应用,讨论仅是位相函数关于底空间变元为非 C~∞光滑的有限级 Fourier 积分算子。利用它们来讨论关于底空间交元为非 C~∞光滑的实主型拟微分算子解的奇性传播时,可以得到较精细的估计。并可类似文[4]研究一般拟线性方程解的奇性传播,且将结果应用于讨论一些具体的非线性方程解的奇性分析.
In this papera class of fourier integral operator with finitely smooth phase are discussed.By the means of the class of fourier integral operator wereserch propagation of siunylarities of solutions of pseuddodifferential operators,which symbolp(x,ξ) is non—smooth in x.
基金
国家自然科学基金资助课题
关键词
傅氏积分算子
有限级
偏微分方程
Fourier integral operator with finitle smooth
pseudo-differential operator of principal type
propagation of singularities
variable in base space
non C~∞ smooth
