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Global weak entropy solutions to quasilinear wave equations of Klein-Gordon and sine-Gordon type

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Publication:1127674
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DOI10.2969/jmsj/05020433zbMath0907.35084OpenAlexW2018504347WikidataQ57777062 ScholiaQ57777062MaRDI QIDQ1127674

Roberto Natalini, Pierangelo Marcati

Publication date: 15 February 1999

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/05020433


zbMATH Keywords

implicit finite-difference schemeglobal Lipschitz-continuous solutions


Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Second-order nonlinear hyperbolic equations (35L70) First-order nonlinear hyperbolic equations (35L60) Initial value problems for second-order hyperbolic equations (35L15)


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Globally Lipschitz continuous solutions to a class of quasilinear wave equations ⋮ Global entropy solutions to a class of quasi-linear wave equations with large time-oscillating sources ⋮ The initial-boundary value problem of hyperbolic integro-differential systems of nonlinear balance laws ⋮ Global solutions for initial-boundary value problem of quasilinear wave equations ⋮ Radially symmetric weak solutions for a quasilinear wave equation in two space dimensions



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