Shatah, Jalal Global existence of small solutions to nonlinear evolution equations. (English) Zbl 0518.35046 J. Differ. Equations 46, 409-425 (1982). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 3 ReviewsCited in 82 Documents MSC: 35G10 Initial value problems for linear higher-order PDEs 35K25 Higher-order parabolic equations 35B20 Perturbations in context of PDEs 34G20 Nonlinear differential equations in abstract spaces Keywords:global existence; small solutions; nonlinear evolution equations; Cauchy problem; asymptotic solutions PDF BibTeX XML Cite \textit{J. Shatah}, J. Differ. Equations 46, 409--425 (1982; Zbl 0518.35046) Full Text: DOI References: [1] Klainerman, S, Global existence for nonlinear wave equations, Comm. pure appl. math., 33, 43-101, (1980) · Zbl 0405.35056 [2] \scS. Klainerman, Long time behaviour of solution to nonlinear evolution equations, preprint. · Zbl 0581.35052 [3] Marshall, B; Strauss, W.A; Wainger, S, Lp − lq estimates for the Klein-Gordon equation, J. math. pures appl., 59, 417-440, (1980) · Zbl 0457.47040 [4] strauss, W.A, Nonlinear scattering theory, (), 53-78 · Zbl 0297.35062 [5] Strauss, W.A, Nonlinear invariant wave equations, (), 197-249 [6] Strauss, W.A, Nonlinear scattering theory at low energy, J. funct. anal., 41, 110-133, (1981) · Zbl 0466.47006 [7] Strichartz, R.S, Convolutions with kernels having singularities on a sphere, Trans. amer. math. soc., 148, 461-471, (1970) · Zbl 0199.17502 [8] \scS. Klainerman and Gustavo Ponce, Global small amplitude solutions to nonlinear evolution equations, preprint. · Zbl 0509.35009 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.