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 Journal of the American Mathematical Society
Journal of the American Mathematical Society
ISSN 1088-6834(e) ISSN 0894-0347(p)

     

Hardy spaces and the two-dimensional Euler equations with nonnegative vorticity

Author(s): L. C. Evans; S. Müller
Journal: J. Amer. Math. Soc. 7 (1994), 199-219.
MSC: Primary 35Q30; Secondary 46E30, 76C05
MathSciNet review: 1220787
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Abstract | References | Similar articles | Additional information

Abstract: We prove that certain quadratic expressions involving the gradient of a weakly superharmonic function in $ {\mathbb{R}^2}$ belong to a local Hardy space. As an application we provide a new proof of J.-M. Delort's convergence theorem for solutions of the two-dimensional Euler equations with vorticities of one sign.

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Additional Information:

DOI: 10.1090/S0894-0347-1994-1220787-3
PII: S0894-0347-1994-1220787-3
Copyright of article: Copyright 1994, American Mathematical Society




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