The nonlocal solvability conditions for a system of two quasilinear equations of the first order with absolute terms

DOI10.15507/2079-6900.21.201903.317-328OpenAlexW2978844472MaRDI QIDQ5884915

M. V. Dontsova

Publication date: 24 March 2023

Published in: Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva (Search for Journal in Brave)

Full work available at URL: https://www.mathnet.ru/eng/svmo743

zbMATH Keywords

Cauchy problemglobal estimatesfirst-order partial differential equationsmethod of an additional argument

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Systems of nonlinear first-order PDEs (35F50) Initial value problems for systems of nonlinear first-order PDEs (35F55)

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Sufficient conditions of a nonlocal solvability for a system of two quasilinear equations of the first order with constant terms

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