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Journal of the American Mathematical Society
Journal of the American Mathematical Society
ISSN 1088-6834(online) ISSN 0894-0347(print)

 

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


Authors: L. C. Evans and 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: 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: http://dx.doi.org/10.1090/S0894-0347-1994-1220787-3
PII: S 0894-0347(1994)1220787-3
Article copyright: © Copyright 1994 American Mathematical Society