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arXiv · 1205.0783

Simplified a priori Estimate for the Time Periodic Burgers' Equation

Magnus Fontes·Olivier Verdier
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Abstract

We present here a version of the existence and uniqueness result of time periodic solutions to the viscous Burgers equation with irregular forcing terms (with Sobolev regularity -1 in space). The key result here is an a priori estimate which is simpler than the previously treated case of forcing terms with regularity -1/2 in time.

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Magnus Fontes, Olivier Verdier. 2012-05-03. Simplified a priori Estimate for the Time Periodic Burgers' Equation. https://doi.org/10.3176/proc.2010.1.06

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