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  1. Y. Cai, F. Wang, Global well-posedness of incompressible elastodynamics in three-dimensional thin domain. SIAM J. Math. Anal., 53 (2021), no. 6, p. 6654-6696. pdf
  2. S. Dong, Global solution to the wave and Klein-Gordon system under null condition in dimension two. J. Funct. Anal., 281 (2021), no. 11, Paper No. 1092320. pdf
  3. S. Dong, P.G. LeFloch, Z. Lei, The top-order energy of quasilinear wave equations in two space dimensions is uniformly bounded. arXiv:2103.07867, 2021 pdf
  4. Y. Cai, Uniform bound of the highest-order energy of the 2D incompressible elastodynamics arXiv:2010.08718, 2020. pdf
  5. Y. Deng, F. Pusateri, On the global behavior of weak null quasilinear wave equations. Comm. Pure Appl. Math., 73 (2020), no. 5, p. 1035–1099. pdf
  6. F. Hou, H. Yin, Global small data smooth solutions of 2-D null-form wave equations with non-compactly supported initial data. J. Differential Equations, 268 (2020), no. 2, p. 490–512. pdf
  7. K. Hidano, K. Yokoyama, Global existence for a system of quasi-linear wave equations in 3D satisfying the weak null condition. Int. Math. Res. Not. IMRN, (2020), no. 1, p. 39–70. pdf
  8. Y. Cai, Z. Lei, F. Lin, N. Masmoudi, Vanishing viscosity limit for incompressible viscoelasticity in two dimensions. Comm. Pure Appl. Math., 72 (2019), no. 10, p. 2063-2120. pdf
  9. D. Zha, Global and almost global existence for general quasilinear wave equations in two space dimensions. J. Math. Pures Appl., 123 (2019), no. 9, p. 270-299. pdf
  10. Y. Cai, Z. Lei, Masmoudi, Nader Global well-posedness for 2D nonlinear wave equations without compact support. J. Math. Pures Appl., (9) 114 (2018), p. 211–234. pdf
  11. X. Wang, Global existence for the 2D incompressible isotropic elastodynamics for small initial data. Ann. Henri Poincaré, 18 (2017), no. 4, p. 1213-1267. pdf
  12. T. Li, Y. Zhou, Nonlinear wave equations[M]. Springer, 2017. pdf
  13. D. Zha, Remarks on nonlinear elastic waves in the radial symmetry in 2-D. Discrete Contin. Dyn. Syst., 36 (2019), no. 7, p. 4051-4062. pdf
  14. D. Zha, A note on quasilinear wave equations in two space dimensions. Discrete Contin. Dyn. Syst., 36 (2016), no. 5, p. 2855-2871. pdf
  15. Z. Lei, Global well-posedness of incompressible elastodynamics in two dimensions. Comm. Pure Appl. Math., 69 (2016), no. 11, p. 2072–2106. pdf
  16. W. Peng, D. Zha, A note on quasilinear wave equations in two space dimensions II: Almost global existence of classical solutions. J. Math. Anal. Appl., 439 (2016), no. 1, p. 419-435. pdf
  17. Z. Lei, T. C. Sideris, Y. Zhou, Almost global existence for 2-D incompressible isotropic elastodynamics. Trans. Amer. Math. Soc., 367 (2015), no. 11, p. 8175–8197. pdf
  18. S. Alinhac, Blowup and blowup at infinity for quasilinear wave equations. Int. Math. Res. Not. IMRN 2012, no. 23, p. 5361–5408. pdf
  19. M. Taylor, Partial Differential Equations III: Nonlinear Equations. Second edition. Applied Mathematical Sciences, 117. Springer, New York, 2011. pdf
  20. M. Taylor, Partial differential equations II: Qualitative studies of linear equations[M]. Springer Science & Business Media, 2011. pdf
  21. M. Taylor, Partial differential equations I. Basic theory[J]. Applied Mathematical Sciences, 1996, 115. pdf
  22. S. Alinhac, Hyperbolic Partial Differential Equations. Springer Science & Business Media, 2009. pdf
  23. S. Alinhac, Stability of large solutions to quasilinear wave equations. Indiana Univ. Math. J. 58 (2009), no. 6, p. 2543-2574. pdf
  24. Z. Lei, C. Liu, Y. Zhou, Global solutions for incompressible viscoelastic fluids. Arch. Ration. Mech. Anal., 188 (2008), no. 3, p. 371-398. pdf
  25. H. Lindblad, Global solutions of quasilinear wave equations. Amer. J. Math., 130 (2008), no. 1, p. 115–157. pdf
  26. T. C. Sideris, B. Thomases, Global existence for three-dimensional incompressible isotropic elastodynamics. Comm. Pure Appl. Math., 60 (2007), no. 12, p. 1707-1730. pdf
  27. T. C. Sideris, B. Thomases, Local energy decay for solutions of multi-dimensional isotropic symmetric hyperbolic systems. J. Hyperbolic Differ. Equ., 3 (2006), no. 4, p. 673-690. pdf
  28. A. Hoshiga, The existence of global solutions to systems of quasilinear wave equations with quadratic nonlinearities in 2-dimensional space. Funkcial. Ekvac., 49(2006), no. 3, p. 357-384. pdf
  29. T. C. Sideris, B. Thomases, Global existence for three-dimensional incompressible isotropic elastodynamics via the incompressible limit. Comm. Pure Appl. Math., 58 (2005), no. 6, p. 750-788. pdf
  30. A. Hoshiga, H. Kubo, Global solvability for systems of nonlinear wave equations with multiple speeds in two space dimensions. Differential Integral Equations, 17 (2004), no. 5-6, p. 593-622. pdf
  31. H. Lindblad, I. Rodnianski, The weak null condition for Einstein's equations. C. R. Math. Acad. Sci. Paris, 336 (2003), no. 11, p. 901–906. pdf
  32. S. Alinhac, An example of blowup at infinity for a quasilinear wave equation. Astérisque, 284 (2003), p. 1-91. pdf
  33. H. Kubo, K. Kubota, Scattering for systems of semilinear wave equations with different speeds of propagation. Adv. Differential Equations, 7(2002), no. 4, p. 441-468. pdf
  34. P. D'Ancona, V. Georgiev, H. Kubo, Weighted decay estimates for the wave equation. J. Differential Equations, 177 (2001), no. 1, p. 146-208. pdf
  35. S. Alinhac, The null condition for quasilinear wave equations in two space dimensions I. Inv. Math., 145 (2001), no. 3, p. 597-618, doi:10.1007/s002220100165 pdf
  36. T.C. Sideris, S.Y. Tu, Global existence for systems of nonlinear wave equations in 3D with multiple speeds. SIAM J. Math. Anal., 33 (2001), no. 2, p. 477–488. pdf
  37. S. Selberg, Lecture Notes Math 632, PDE. Johns Hopkins University, 2001 pdf
  38. K. Yokoyama, Global existence of classical solutions to systems of wave equations with critical nonlinearity in three space dimensions. J. Math. Soc. Japan, 52 (2000), no. 3, p. 609-632. pdf
  39. H. Yin, The blowup mechanism for 3-D quasilinear wave equations with small data. Sci. China Ser. A 43 (2000), no. 3, p. 252–266. pdf
  40. 李大潜, 秦铁虎. 物理学与偏微分方程 (下册)[M]. 北京: 高等教育出版社, 2000. pdf
  41. T. C. Sideris, Nonresonance and global existence of prestressed nonlinear elastic waves. Ann. of Math., 151 (2000), no. 2, p. 849-874. pdf
  42. A. Hoshiga, H. Kubo, Global small amplitude solutions of nonlinear hyperbolic systems with a critical exponent under the null condition. SIAM J. Math. Anal., 31 (2000), no. 3, p. 486–513. pdf
  43. S. Selber, Multilinear space-time estimates and applications to local existence theory for nonlinear wave equations[M]. Princeton University, 1999. pdf
  44. R. Agemi, K. Yokoyama, The null condition and global existence of solutions to systems of wave equations with different speeds. Advances in nonlinear partial differential equations and stochastics, (1998), p. 43-86. pdf
  45. 李大潜, 秦铁虎. 物理学与偏微分方程 (上册)[M]. 北京: 高等教育出版社, 1997. pdf
  46. L. Hormander, Lectures on Nonlinear Hyperbolic Differential Equations Mathematiques & Applications (Berlin) [Mathematics & Applications], vol. 26, Springer-Verlag, Berlin, 1997. pdf
  47. T. C. Sideris, The null condition and global existence of nonlinear elastic waves. Invent. Math., 123 (1996), no. 2, p. 323-342. pdf
  48. S. Klainerman, TC. Sideris, On almost global existence for nonrelativistic wave equations in 3D. Commun. Pure. Appl. Math., 49 (1996), no. 3, p. 307-321. pdf
  49. C.D. Sogge, Lectures on non-linear wave equations. Boston, MA: International Press, 1995. pdf
  50. S. Alinhac, Blowup for nonlinear hyperbolic equations[M]. Springer Science & Business Media, 1995. pdf
  51. S. Alinhac, Life spans of the classical solutions of two-dimensional axisymmetric compressible Euler equations. Inv. Math., 111 (1993), no. 1, p. 627-670. pdf
  52. M. Kovalyov, Long-time behaviour of solutions of a system of nonlinear wave equations. Commun, Partial. Differ. Equ., 12 (1987), no. 5, p . 471-501. pdf
  53. S. Klainerman, Weighted L∞ and L1 estimates for solutions to the classical wave equation in three space dimensions. Comm. Pure Appl. Math., 37 (1984), no. 2, p. 269-288. pdf