Global existence of weak solutions for the burgers-hilbert equation

Alberto Bressan; Khai T. Nguyen

doi:10.1137/140957536

Global existence of weak solutions for the burgers-hilbert equation

Alberto Bressan, Khai T. Nguyen

Research output: Contribution to journal › Article

6 Scopus citations

Abstract

This paper establishes the global existence of weak solutions to the Burgers-Hilbert equation, for general initial data in L² (ℝ). For positive times, the solution lies in L² ∩ L∞ . A partial uniqueness result is proved for spatially periodic solutions, as long as the total variation remains locally bounded.

Original language	English (US)
Pages (from-to)	2884-2904
Number of pages	21
Journal	SIAM Journal on Mathematical Analysis
Volume	46
Issue number	4
DOIs	https://doi.org/10.1137/140957536
State	Published - Jan 1 2014

All Science Journal Classification (ASJC) codes

Analysis
Computational Mathematics
Applied Mathematics

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Bressan, A., & Nguyen, K. T. (2014). Global existence of weak solutions for the burgers-hilbert equation. SIAM Journal on Mathematical Analysis, 46(4), 2884-2904. https://doi.org/10.1137/140957536

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