Levine, Howard A. Instability and nonexistence of global solutions to nonlinear wave equations of the form \(Pu_{tt}=-A u+ {\mathfrak F} (u)\). (English) Zbl 0288.35003 Trans. Am. Math. Soc. 192, 1-21 (1974). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 3 ReviewsCited in 343 Documents MSC: 35B05 Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs 35B30 Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs 35L15 Initial value problems for second-order hyperbolic equations 35L60 First-order nonlinear hyperbolic equations PDF BibTeX XML Cite \textit{H. A. Levine}, Trans. Am. Math. Soc. 192, 1--21 (1974; Zbl 0288.35003) Full Text: DOI OpenURL