Global existence of weak solutions for the burgers-hilbert equation

Alberto Bressan, Khai T. Nguyen

Research output: Contribution to journalArticle

3 Citations (Scopus)

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 languageEnglish (US)
Pages (from-to)2884-2904
Number of pages21
JournalSIAM Journal on Mathematical Analysis
Volume46
Issue number4
DOIs
StatePublished - Jan 1 2014

Fingerprint

Existence of Weak Solutions
Total Variation
Global Existence
Hilbert
Periodic Solution
Uniqueness
Partial

All Science Journal Classification (ASJC) codes

  • Analysis
  • Computational Mathematics
  • Applied Mathematics

Cite this

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Global existence of weak solutions for the burgers-hilbert equation. / Bressan, Alberto; Nguyen, Khai T.

In: SIAM Journal on Mathematical Analysis, Vol. 46, No. 4, 01.01.2014, p. 2884-2904.

Research output: Contribution to journalArticle

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