Research Article

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

Published in: Quaestiones Mathematicae
Volume 46 , issue 8 , 2023 , 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

Download full text Get new issue alerts

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.

« Oscillation criteria for noncanonical neutral Emden-Fowler differential equations

On the extent of the injectivity of direct sums of modules »