Propagation of regularity and persistence of decay for fifth order dispersive models

Jun-ichi Segata; Derek L. Smith

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arXiv · 1502.01796

Propagation of regularity and persistence of decay for fifth order dispersive models

Jun-ichi Segata·Derek L. Smith

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Abstract

This paper considers the initial value problem for a class of fifth order dispersive models containing the fifth order KdV equation $$\partial_tu - \partial_x^5u - 30u^2\partial_xu + 20\partial_xu\partial_x^2u + 10u\partial_x^3u = 0.$$ The main results show that regularity or polynomial decay of the data on the positive half-line yields regularity in the solution for positive times.

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Jun-ichi Segata, Derek L. Smith. 2015-02-06. Propagation of regularity and persistence of decay for fifth order dispersive models. https://arxiv.org/abs/1502.01796

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