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- W3098241875 abstract "We prove global well-posedness of the short-pulse equation with small initial data in Sobolev space $H^2$. Our analysis relies on local well-posedness results of Schafer & Wayne, the correspondence of the short-pulse equation to the sine-Gordon equation in characteristic coordinates, and a number of conserved quantities of the short-pulse equation. We also prove local and global well-posedness of the sine-Gordon equation in an appropriate function space." @default.
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- W3098241875 date "2010-03-16" @default.
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- W3098241875 title "Global Well-Posedness of the Short-Pulse and Sine–Gordon Equations in Energy Space" @default.
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- W3098241875 doi "https://doi.org/10.1080/03605300903509104" @default.
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