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Paper detail

Pointwise convergence for the elastic wave equation

We study pointwise convergence of the solution to the elastic wave equation to the initial data which lies in the Sobolev spaces. We prove that the solution converges along every lines to the initial data almost everywhere whenever the initial regularity is greater than one half. We show this is almost optimal.

preprint2022arXivOpen access
Chu-Hee ChoSeongyeon KimYehyun KwonIhyeok Seo
math.AP
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Chu-Hee ChoSeongyeon KimYehyun KwonIhyeok Seo

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