Quadratic forms for the Liouville equation \(w_{tt} + \lambda ^{2}a(t)w = 0\) with applications to Kirchhoff equation

DOI10.4171/PM/1821zbMath1160.35477MaRDI QIDQ959457

Renato Manfrin

Publication date: 11 December 2008

Published in: Portugaliae Mathematica. Nova Série (Search for Journal in Brave)

Full work available at URL: http://www.ems-ph.org/journals/show_pdf.php?issn=0032-5155&vol=65&iss=4&rank=2

zbMATH Keywords

Kirchhoff equationglobal solvabilityLiouville equationnonsmooth large data

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Initial value problems for second-order hyperbolic equations (35L15)

Related Items (3)

Kirchhoff equations in \(B^k_{\Delta}\) classes ⋮ On the asymptotic boundedness of the energy of solutions of the wave equation \(u_{tt}-a(t)\Delta u=0\) ⋮ On second order weakly hyperbolic equations with oscillating coefficients and regularity loss of the solutions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Global solvability for Kirchhoff equation in special classes of non-analytic functions
• On a global solution of some quasilinear hyperbolic equation
• Global solvability to the Kirchhoff equation for a new class of initial data
• On the global solvability of Kirchhoff equation for non-analytic initial data
• On smooth global solutions of a Kirchhoff type equation on unbounded domains
• Exponential decay of solutions of some quasilinear hyperbolic equations with linear damping
• On classical solutions of a quasilinear hyperbolic equation
• The initial value problem for a stretched string
• ON A CLASS OF QUASILINEAR HYPERBOLIC EQUATIONS
• On the Well-Posedness of the Kirchhoff String

This page was built for publication: Quadratic forms for the Liouville equation \(w_{tt} + \lambda ^{2}a(t)w = 0\) with applications to Kirchhoff equation