Global solvability to the Kirchhoff equation for a new class of initial data

zbMath1043.35116MaRDI QIDQ1612070

Renato Manfrin

Publication date: 2002

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

Full work available at URL: https://eudml.org/doc/50880

zbMATH Keywords

initial-boundary value problemCauchy problemSobolev classKirchhoff equationglobal solvabilityperiodic initial value problem

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70)

Related Items (10)

Global solvability for Kirchhoff equation in special classes of non-analytic functions ⋮ On the convergence of a three-layer semi-discrete scheme for the nonlinear dynamic Kirchhoff string equation ⋮ On local convergence of a symmetric semi-discrete scheme for an abstract analogue of the Kirchhoff equation ⋮ Kirchhoff equations in \(B^k_{\Delta}\) classes ⋮ Convergence of a semi-discrete scheme for an abstract nonlinear second order evolution equation ⋮ Quadratic forms for the Liouville equation \(w_{tt} + \lambda ^{2}a(t)w = 0\) with applications to Kirchhoff equation ⋮ A class of non-analytic functions for the global solvability of Kirchhoff equation ⋮ On the global solvability of Kirchhoff equation for non-analytic initial data ⋮ Spectral gap global solutions for degenerate Kirchhoff equations ⋮ On stability and convergence of a three-layer semi-discrete scheme for an abstract analogue of the Ball integro-differential equation

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