关于非线性广义函数的基础I
On the foundations of nonlinear generalized functions I
摘要：
构造了一个正则包含L意义下分布空间的同态不变量（Colombeau型）微分代数。史瓦兹采用微分学在无限维（方便）向量空间，以前的尝试在这个方向上是统一和完成。几个分类的结果和应用的非线性微分方程涉及奇性。
英文摘要：
We construct a diffeomorphism invariant (Colombeau-type) differential algebra canonically containing the space of distributions in the sense of L. Schwartz. Employing differential calculus in infinite dimensional (convenient) vector spaces, previous attempts in this direction are unified and completed. Several classification results are achieved and applications to nonlinear differential equations involving singularities are given.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
