Research Article

The nonlocal solvability conditions in original coordinates for a system with constant terms

Published in: Quaestiones Mathematicae
Volume 46 , issue 8 : Entrepreneurship and Africa’s Cultural Context , 2024 , pages: 1599–1608
DOI: 10.2989/16073606.2022.2108520
Author(s): M.V. Dontsova Lobachevsky State University of Nizhny Novgorod, Russia,
Keywords: 35F50, 35F55, 35A01, Cauchy problem, first order partial differential equations, the method of an additional argument, global estimates,
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Abstract

Conditions of a nonlocal solvability of the Cauchy problem in original coordinates are obtained for a system of two quasilinear first-order partial differential equations with constant terms. The investigation is based on the method of an additional argument. The proof of the nonlocal solvability of the Cauchy problem in original coordinates relies on global estimates.
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