References
- Ginibre J, Velo G. The global Cauchy problem for nonlinear Klein-Gordon equation. Math Z. 1985;189:487–505. doi: 10.1007/BF01168155
- Lions JL. Quelques méthodes de résolution des problèmes aux limites non linéaires. Paris: Dunod and Gauthier-Villars; 1969. xx+554 pp.
- Struwe M. Semilinear wave equations. Bull Amer Math Soc, NS. 1992;26:53–85. doi: 10.1090/S0273-0979-1992-00225-2
- Grillakis M. Regularity and asymptotic behavior of the wave equation with a critical nonlinearity. Ann Math. 1990;132:485–509. doi: 10.2307/1971427
- Shatah J, Struwe M. Well-posedness in the energy space for semilinear wave equations with critical growth. Internat Math Res Notices. 1994;7:303–309. doi: 10.1155/S1073792894000346
- Kenig E, Merle F. Nondispersive radial solutions to energy supercritical nonlinear wave equations, with applications. Am J Math. 2011;133(4):1029–1065. doi: 10.1353/ajm.2011.0029
- Christ M, Colliander J, Tao T. Ill-posedness for nonlinear Schrödinger and wave equations. Ann Inst H Poincaré Anal Non Linéaire. 2005.
- Killip R, Visan M. Energy-supercritical NLS: critical Hs-bounds imply scattering. Commun Partial Diff Eq. 2010;35(6):945–987. doi: 10.1080/03605301003717084
- Du DP, Wu YF, Zhang KJ. On blow-up criterion for the nonlinear Schrödinger equation. Discrete Contin Dyn Syst. 2016;36(7):3639–3650. doi: 10.3934/dcds.2016.36.3639
- Keel M, Tao T. Endpoint Strichartz estimates. Am J Math. 1998;120(5):955–980. doi: 10.1353/ajm.1998.0039
- Bourgain J, Li D. On an endpoint Kato-Ponce inequality. Diff Integral Eq. 2014;27(11–12):1037–1072.
- Kenig C, Ponce G, Vega L. Well-posedness and scattering results for the generalized Korteweg-de Vries equation via contraction principle. Comm Pure Appl Math. 1993;46(4):527–620. doi: 10.1002/cpa.3160460405
- Li D. On Kato-Ponce and fractional Leibniz. Rev Mat Iberoam. 2019;35(1):23–100. doi: 10.4171/rmi/1049
- Bai RB, Wu YF, Xue J. Optimal small data scattering for the generalized derivative nonlinear Schrödinger equations, arXiv:1811.01360.