Remarks on Quasilinear Hyperbolic Equations with Dynamic Boundary Conditions

DOI10.1002/mana.19991980109zbMath0923.35102OpenAlexW2074593626MaRDI QIDQ4238867

Sang Ro Park

Publication date: 31 October 1999

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.19991980109

zbMATH Keywords

nonexistence of global solutionsnegative initial energy

Mathematics Subject Classification ID

Initial-boundary value problems for higher-order hyperbolic equations (35L35) Higher-order nonlinear hyperbolic equations (35L75)

Related Items (1)

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Cites Work

• Existence of a solution of the wave equation with nonlinear damping and source terms
• Nonexistence of global weak solutions to some properly and improperly posed problems of mathematical physics: The method of unbounded Fourier coefficients
• Blow-up theorems for nonlinear wave equations
• Instability and Nonexistence of Global Solutions to Nonlinear Wave Equations of the Form Pu tt = -Au + ℱ(u)
• Nonexistence of Global Solutions of Some Quasilinear Hyperbolic Equations with Dynamic Boundary Conditions
• Some Additional Remarks on the Nonexistence of Global Solutions to Nonlinear Wave Equations

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