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

Evans, L. C. ; Müller, S.

Journal of the American Mathematical Society, Tome 07 (1994) no. 1, pp. 199-219

Résumé

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.

Détail

DOI : 10.1090/S0894-0347-1994-1220787-3

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