Central manifold theory for the generalized equation of Kirchhoff strings on \(\mathbb R^N\)

DOI10.1016/J.NA.2005.01.107zbMath1073.35179OpenAlexW2147584114MaRDI QIDQ556350

Perikles G. Papadopoulos, Nikolaos M. Stavrakakis

Publication date: 13 June 2005

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2005.01.107

zbMATH Keywords

unbounded domainquasilinear wave equationlinearized stabilitylocal and global solutionscenter manifold reductionKirchhoff's equationsstrong and weak dissipation

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Initial value problems for second-order hyperbolic equations (35L15) Invariant manifold theory for dynamical systems (37D10) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10) Strings (74K05) Higher-order nonlinear hyperbolic equations (35L75)

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