Existence of global solutions and stability results for a nonlinear wave problem in unbounded domains

DOI10.1007/978-3-030-84721-0_26zbMath1496.35242OpenAlexW4231572519MaRDI QIDQ2080625

G. Xerogiannakis, N. L. Matiadou, S. Fatouros, Perikles G. Papadopoulos

Publication date: 9 October 2022

Full work available at URL: https://doi.org/10.1007/978-3-030-84721-0_26

zbMATH Keywords

dissipationglobal solutionconcavity methodunbounded domainsquasilinear hyperbolic equationsblow uppotential wellKirchhoff stringsweighted \(L^p\) spacesgeneralized Sobolev spaces

Mathematics Subject Classification ID

Wave equation (35L05)

Cites Work

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• Some remarks on the wave equations with nonlinear damping and source terms
• 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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