FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1999, VOLUME 5, NUMBER 4, PAGES 1179-1189

Formally integrable Mizohata systems of codimension $1$

J. Tabov

Abstract

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In the paper we prove that any formally integrable Mizohata system of codimension one

can be reduced by a local change of the variables to a system of the form

and, consequently, to Poisson's equation in the plane.

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Last modified: December 9, 1999