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Equations with nonnegative characteristic form. I

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Abstract

This monograph consists of two volumes and is devoted to second-order partial differential equations (mainly, equations with nonnegative characteristic form). A number of problems of qualitative theory (for example, local smoothness and hypoellipticity) are presented.

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Correspondence to E. V. Radkevich.

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To the memory of Ol’ga Arsen’evna Oleinik, my teacher

Translated from Sovremennaya Matematika i Ee Prilozheniya (Contemporary Mathematics and Its Applications), Vol. 55, Partial Differential Equations, 2008.

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Radkevich, E.V. Equations with nonnegative characteristic form. I. J Math Sci 158, 297–452 (2009). https://doi.org/10.1007/s10958-009-9394-2

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