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arXiv · 0805.3465

Global well-posedness of the critical Burgers equation in critical Besov spaces

Changxing Miao·Gang Wu
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Abstract

We make use of the method of modulus of continuity \cite{K-N-S} and Fourier localization technique \cite{A-H} to prove the global well-posedness of the critical Burgers equation $\partial_{t}u+u\partial_{x}u+Λu=0$ in critical Besov spaces $\dot{B}^{\frac{1}{p}}_{p,1}(\mathbb{R})$ with $p\in[1,\infty)$, where $Λ=\sqrt{-\triangle}$.

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Changxing Miao, Gang Wu. 2008-10-24. Global well-posedness of the critical Burgers equation in critical Besov spaces. https://doi.org/10.1016/j.jde.2009.03.028

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