Classification of smooth solutions to 2×2 hyperbolic systems with boundary damping

DOI<link itemprop=identifier href="https://doi.org/10.1002/(SICI)1099-1476(199712)20:18<1563::AID-MMA925>3.0.CO;2-9" /><1563::AID-MMA925>3.0.CO;2-9 10.1002/(SICI)1099-1476(199712)20:18<1563::AID-MMA925>3.0.CO;2-9zbMath0891.35083OpenAlexW2091981259MaRDI QIDQ4369728

Pascale Bergeret

Publication date: 19 July 1998

Full work available at URL: https://doi.org/10.1002/(sici)1099-1476(199712)20:18<1563::aid-mma925>3.0.co;2-9

zbMATH Keywords

global existenceweak dampingsmall initial datastrong dampingbreakdown in finite time

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) First-order nonlinear hyperbolic equations (35L60) Initial-boundary value problems for first-order hyperbolic systems (35L50)

Cites Work

• Unnamed Item
• The effect of boundary damping for the quasilinear wave equation
• Development of singularities in the nonlinear waves for quasi-linear hyperbolic partial differential equations
• Formation of singularities for wave equations including the nonlinear vibrating string
• Formation of singularities in one-dimensional nonlinear wave propagation
• Development of Singularities of Solutions of Nonlinear Hyperbolic Partial Differential Equations

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