Displaying similar documents to “L2 Riemannian-Roch Theorem for Elliptic Operators.”

A characterization of elliptic operators

Grzegorz Łysik, Paweł M. Wójcicki (2014)

Annales Polonici Mathematici

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We give a characterization of constant coefficients elliptic operators in terms of estimates of their iterations on smooth functions.

On Dittmar's approach to the Beltrami equation

Ewa Ligocka (2002)

Colloquium Mathematicae

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We recall an old result of B. Dittmar. This result permits us to obtain an existence theorem for the Beltrami equation and some other results as a direct consequence of Moser's classical estimates for elliptic operators.

Refined Kato inequalities in riemannian geometry

Marc Herzlich (2000)

Journées équations aux dérivées partielles

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We describe the recent joint work of the author with David M. J. Calderbank and Paul Gauduchon on refined Kato inequalities for sections of vector bundles living in the kernel of natural first-order elliptic operators.

Extended Maximum Principles

Al-Mahameed, M. M. (2007)

Serdica Mathematical Journal

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2000 Mathematics Subject Classification: 35B50, 35L15. In this paper we introduce some new results concerning the maximum principles for second order linear elliptic partial differential equations defined on a noncompact Riemannian manifold.