Global existence and energy decay for mildly degenerate Kirchhoff’s equations on ℝN

DOI10.1080/09720502.2009.10700663zbMath1201.35140OpenAlexW2001954300MaRDI QIDQ3559438

Alexandros Pappas, Michael Karamolengos, Perikles G. Papadopoulos

Publication date: 14 May 2010

Published in: Journal of Interdisciplinary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/09720502.2009.10700663

zbMATH Keywords

Cauchy problemglobal solutiongeneralized Sobolev spaceKirchhoff type equation

Mathematics Subject Classification ID

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

Related Items (3)

The family of random attractors for nonautonomous stochastic higher-order Kirchhoff equations with variable coefficients ⋮ Attractors of the strongly damped Kirchhoff wave equation on \(\mathbb{R}^{N}\) ⋮ \( \varphi^4\) solitons in Kirchhoff wave equation

Cites Work

• Central manifold theory for the generalized equation of Kirchhoff strings on \(\mathbb R^N\)
• Existence of a global attractor for semilinear dissipative wave equations on \(\mathbb{R}^N\)
• Global bifurcation results for a semilinear elliptic equation on all of \(\mathbb{R}^ N\)
• Nonlinear perturbations of the kirchhoff equation
• Compact invariant sets for some quasilinear nonlocal Kirchhoff strings on ℝ^N
• Global existence and blow-up results for an equation of Kirchhoff type on \(\mathbb{R}^N\)

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