, Volume 158, Issue 3, pp 297-452
Date: 01 Apr 2009

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.

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.