Nonlocal solvability conditions for Cauchy problem for a system of first order partial differential equations with special right-hand sides

DOI10.13108/2014-6-4-68zbMath1463.35182OpenAlexW2321961174MaRDI QIDQ5137205

Publication date: 2 December 2020

Published in: Ufimskii Matematicheskii Zhurnal (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/ufa261

zbMATH Keywords

Cauchy problem first-order partial differential equations method of 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)

Related Items (10)

On a Cauchy type problem for a second kind degenerating hyperbolic equation ⋮ Inverse problem for Whitham type multi-dimensional differential equation with impulse effects ⋮ Nonlocal Solvability of the Cauchy Problem for a System with Negative Functions of the Variable $t$ ⋮ The nonlocal solvability conditions in original coordinates for a system with constant terms ⋮ Solvability of the Cauchy problem for a quasilinear system in original coordinates ⋮ Unnamed Item ⋮ Unnamed Item ⋮ The initial value problem for the quasi-linear partial integro-differential equation of higher order with a degenerate kernel ⋮ Solvability of Cauchy problem for a system of first order quasilinear equations with right-hand sides $f_1={a_2}u(t,x) + {b_2}(t)v(t,x),$ $f_2={g_2}v(t,x)$ ⋮ Sufficient conditions of a nonlocal solvability for a system of two quasilinear equations of the first order with constant terms

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