Sharp condition for global existence and blow-up on Klein-Gordon equation

DOI10.1155/2009/164303zbMath1184.35073OpenAlexW2031002938WikidataQ58648887 ScholiaQ58648887MaRDI QIDQ1036273

Li Shufeng, Zhao Junsheng

Publication date: 13 November 2009

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/45798

zbMATH Keywords

family of potential wells

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44) Second-order semilinear hyperbolic equations (35L71)

Cites Work

• Saddle points and instability of nonlinear hyperbolic equations
• \(L^p\)-Abschätzungen und klassische Lösungen für nichtlineare Wellengleichungen. I
• On potential wells and applications to semilinear hyperbolic equations and parabolic equations
• Instability and Nonexistence of Global Solutions to Nonlinear Wave Equations of the Form Pu tt = -Au + ℱ(u)
• Sharp conditions of global existence for nonlinear Schrödinger and Klein-Gordon equations.
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