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arxiv: 1612.07869 · v1 · pith:3UPDPLWRnew · submitted 2016-12-23 · 🧮 math.AP

Large time asymptotics of solutions to the short-pulse equation

classification 🧮 math.AP
keywords equationshort-pulsesolutionsasymptoticsbehaviorconsiderdataexistence
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We consider the long-time behavior of solutions to the short-pulse equation. Using the method of testing by wave packets, we prove small data global existence and modified scattering.

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