On Initial-Boundary Value Problems for Some One Dimensional Quasilinear Wave Equations: Global Existence, Scattering and Rigidity

Author:

Zha DongbingORCID,Xue Xinxin

Funder

National Natural Science Foundation of China

Publisher

Springer Science and Business Media LLC

Subject

Geometry and Topology

Reference19 articles.

1. Alinhac, S.: The null condition for quasilinear wave equations in two space dimensions. I. Invent. Math. 145, 597–618 (2001). https://doi.org/10.1007/s002220100165

2. Christodoulou, D.: Global solutions of nonlinear hyperbolic equations for small initial data. Commun. Pure Appl. Math. 39, 267–282 (1986). https://doi.org/10.1002/cpa.3160390205

3. Geba, D.-A., Grillakis, M.G.: An Introduction to the Theory of Wave Maps and Related Geometric Problems. World Scientific Publishing, Hackensack (2017)

4. Katayama, S.: Global solutions and the asymptotic behavior for nonlinear wave equations with small initial data. MSJ Memoirs, vol. 36. Mathematical Society of Japan, Tokyo (2017). https://projecteuclid.org/euclid.msjm/1511805567#info

5. Keel, M., Smith, H.F., Sogge, C.D.: Global existence for a quasilinear wave equation outside of star-shaped domains. J. Funct. Anal. 189, 155–226 (2002). https://doi.org/10.1006/jfan.2001.3844

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