Abstract
In this chapter we first review a number of results on the regularity of the functions N = N(u 1, … , u m ) and f = f(u) in the framework of the Hardy space \(\mathcal{H}^{1}\), and then use these results to prove the well-posedness of the von Karman equations (3) and (4) in \(\mathbb{R}^{2}\).
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Cherrier, P., Milani, A. (2015). The Hardy Space \(\mathcal{H}^{1}\) and the Case m = 1. In: Evolution Equations of von Karman Type. Lecture Notes of the Unione Matematica Italiana, vol 17. Springer, Cham. https://doi.org/10.1007/978-3-319-20997-5_6
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DOI: https://doi.org/10.1007/978-3-319-20997-5_6
Publisher Name: Springer, Cham
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