Distributions. Sobolev Spaces
Distributions. Sobolev Spaces
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发表时间：
1981
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通讯作者：
J. Nowinski
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作者：
J. Nowinski
在这本书的结尾，我们简要介绍了可用于处理在物理和工程的各个领域中遇到的一些非正统情况的方法，特别是在动力学、电磁学、量子场论和最优化方面。在这里，我们考虑的问题是，诸如函数的正则性和可微性、级数的收敛和边界条件的光滑性等经典要求不能保持，而必须部分或完全放宽。当我们涉及到时间脉冲(即，持续时间很短的高强度作用)、局部(集中)力和作用于结构系统的耦合、各种点源、点质量、点电荷，最后是沿线或孤立点处的支承时，这种情况发生得最频繁。
We conclude this book with a glimpse at the means available for treating some unorthodox situations encountered in various areas of physics and engineering, in particular, in dynamics, electromagnetism, quantum field theory, and optimization. We here have in mind problems in which such classical requirements as the regularity and differentiability of functions, convergence of series, and smoothness of boundary conditions cannot be maintained, but must be relaxed, either in part or completely. This happens most frequently when we are concerned with temporal impulses (i.e., high intensity actions of very short duration), localized (concentrated) forces and couples acting on structural systems, point sources of various kinds, point masses, point charges, and finally, supports along lines or at isolated points.