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Start Over Author "Sakovich, Anton" Topic calculus of variations
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1. Global Well-Posedness of the Short-Pulse and Sine-Gordon Equations in Energy Space.

Author

Pelinovsky, Dmitry and Sakovich, Anton

Subjects
*FUNCTION spaces, *SOBOLEV spaces, *FUNCTIONAL analysis, *CALCULUS of variations, *FUNCTIONAL equations
Abstract

We prove global well-posedness of the short-pulse equation with small initial data in Sobolev space H2. Our analysis relies on local well-posedness results of Schafer and Wayne [15], 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. [ABSTRACT FROM AUTHOR]

Published
2010
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