簡単な双曲型偏微分方程式の特有初期値問題 : 古典的解法と関数解析(その3)

概要

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First of all, I showed the proof of the uniguness and the existence of solution on the characteristic initial value problem of the hyperbolic partial differential equation in this paper, one was of classical solution, and the other was of weak solution of the functional analysis. Applying these analyses to the wave equation. I gave six considerations about the long wave, sound wave and so on, two ones among these were the method of plane wave and characteristics. In the functional analyis, these wave eguations were transformed into the evolution eguations with the semi group theory, I showed the uniguness and the existence of solution with this theory. I think the functional analysis is very important to solve not only the hyperbolic partial differential equations but also the parabolic ones.
1999-07-31