Cauchy-Gelfand problem and the inverse problem for a first-order quasilinear equation

DOI10.1007/s10688-016-0137-0zbMath1349.35070OpenAlexW2414353860MaRDI QIDQ317275

Gennadi M. Henkin, Alexander A. Shananin

Publication date: 30 September 2016

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10688-016-0137-0

zbMATH Keywords

asymptoticsCauchy problemvanishing viscosity methodquasilinear equationMaxwell's rule

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Initial value problems for nonlinear first-order PDEs (35F25)

Related Items

On a nonlinear differential equation in a Banach space ⋮ Gennadi Markovich Henkin (obituary)

Cites Work

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• Waves and structures in nonlinear nondispersive media. General theory and applications to nonlinear acoustics.
• Cauchy-Gelfand problem for quasilinear conservation law
• Piecewise smooth solutions of a single conservation law exist
• Asymptotic behavior of solutions of the Cauchy problem for Burgers type equations
• Burgers type equations, Gelfand's problem and Schumpeterian dynamics
• Asymptotic structure for solutions of the Cauchy problem for Burgers type equations
• Estimates for solutions of Burgers type equations and some applications
• On Hopf's formulas for solutions of Hamilton-Jacobi equations
• The zero set of a solution of a parabolic equation.
• Asymptotic behaviour of the solutions of the Cauchy problem for non-linear first order equations
• The asymptotic behaviour of the solution to the Cauchy problem for a quasilinear first-order equation with a non-convex state function
• FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES