Locally Lipschitz solutions of a single conservation law in several space variables

DOI10.1016/0022-0396(81)90027-9zbMath0443.34005OpenAlexW2092336509MaRDI QIDQ1144186

David Hoff

Publication date: 1981

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(81)90027-9

zbMATH Keywords

Cauchy problemconservation lawKruzkov's uniqueness conditionlocally Lipschitz solutions

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12)

Related Items (4)

Solutions to quasilinear hyperbolic conservation laws with initial discontinuities ⋮ Globally classical solutions for nonlinear equations of first order ⋮ Lipschitz solutions of initial boundary value problems for balance laws ⋮ Globally smooth solutions of quasilinear hyperbolic systems in diagonal form

Cites Work

• The formation and decay of shocks for a conservation law in several dimensions
• The Cauchy problem for some classes of quasi-linear parabolic equations

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