Some attempts on $L^{2}$ boundedness for 1-D wave equations with time variable coeffecients

Ryo Ikehata

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arXiv · 2309.05986

Some attempts on $L^{2}$ boundedness for 1-D wave equations with time variable coeffecients

Ryo Ikehata

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Abstract

We consider the $L^2$-boundedness of the solution itself of the Cauchy problem for wave equations with time-dependent wave speeds. We treat it in the one-dimensional Euclidean space. To study these, we adopt a simple multiplier method by using a special property equiped with the one dimensional space.

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Ryo Ikehata. 2023-09-12. Some attempts on $L^{2}$ boundedness for 1-D wave equations with time variable coeffecients. https://arxiv.org/abs/2309.05986

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