Blow-up for a non-degenerate non-local quasilinear wave equation on IRN

DOI10.1080/00036810903114783zbMath1241.35138OpenAlexW1980618717WikidataQ58264523 ScholiaQ58264523MaRDI QIDQ2883289

Perikles G. Papadopoulos

Publication date: 11 May 2012

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810903114783

zbMATH Keywords

dissipationconcavity methodpotential wellKirchhoff stringsweighted \(L_p\) spacesgeneralized Sobolev spaces

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Blow-up in context of PDEs (35B44) Second-order quasilinear hyperbolic equations (35L72)

Cites Work

• Unnamed Item
• Central manifold theory for the generalized equation of Kirchhoff strings on \(\mathbb R^N\)
• Global bifurcation results for a semilinear elliptic equation on all of \(\mathbb{R}^ N\)
• Blow-up and critical exponents for nonlinear hyperbolic equations
• Existence problem for the Kirchhoff type wave equation with a localized weakly nonlinear dissipation in exterior domains
• Nonlinear perturbations of the kirchhoff equation
• EXISTENCE OF GLOBAL SOLUTIONS FOR THE KIRCHHOFF-TYPE QUASILINEAR WAVE EQUATION IN EXTERIOR DOMAINS WITH A HALF-LINEAR DISSIPATION
• On the Existence of Solutions for Some Nondegenerate Nonlinear Wave Equations of Kirchhoff Type
• Compact invariant sets for some quasilinear nonlocal Kirchhoff strings on ℝ^N

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