wave equations卷积解的锐拓广
Sharp extensions for convoluted solutions of wave equations
摘要：
本文给出了抽象巴拿赫空间中波动方程卷积解的锐拓广。主要的技术是使用这些解的卷积积$\ast$和$\ast_c$的代数结构，这些解由Duhamel公式的一个版本定义。我们定义代数同态，卷积产品$\ast_c$，从一定的测试功能，并将我们的结果应用到具体的例子抽象的波动方程。
英文摘要：
In this paper we give sharp extensions of convoluted solutions of wave equations in abstract Banach spaces. The main technique is to use the algebraic structure, for convolution products $\ast$ and $\ast_c$, of these solutions which are defined by a version of the Duhamel's formula. We define algebra homomorphisms, for the convolution product $\ast_c$, from a certain set of test-functions and apply our results to concrete examples of abstract wave equations.
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。
