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Estimates for the parametrix of the Kohn Laplacian on certain domains.

Matei Machedon — 1988

Inventiones mathematicae

On the regularity properties of non-linear wave equations

S. Klainerman; Matei Machedon — 1997

Journées équations aux dérivées partielles

On the algebraic properties of the $H_{\frac{n}{2}, \frac{1}{2}}$ spaces

Sergiu Klainerman; Matei Machedon

Séminaire Équations aux dérivées partielles

We investigate the multiplicative properties of the spaces $H^{\frac{n}{2}, \frac{1}{2}}$ As in the case of the classical Sobolev spaces $H^{\frac{n}{2}}$ this space does not form an algebra. We investigate instead the space $H^{\frac{n}{2}} \cap L^{\infty}$ , more precisely a subspace of it formed by products of solutions of the homogeneous wave equation with data in $H^{\frac{n}{2}}$ .

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