Global solutions for a class of nonlinear sixth-order wave equation

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참고문헌 (24)

1. A. Constantin, "The initial value problem for a generalized Boussinesq equation", Differential Integral Equations, 15(9), pp.1061~1072 (2002)
2. G. B. Folland, "Real Analysis, second edition, Pure and Applied Mathematics (New York)" (1999), John Wiley & Sons, Inc.
3. T. Kato, "Commutator estimates and the Euler and Navier-Stokes equations", Comm. Pure Appl. Math., 41(7), pp.891~907 (1988)[DOI]
4. N. Kutev, "Global existence of Cauchy problem for Boussinesq paradigm equation", Comput. Math. Appl., 65(3), pp.500~511 (2013)[DOI]
5. S. Lai, "The asymptotic solution of the Cauchy problem for a generalized Boussinesq equation", Discrete Contin. Dyn. Syst. Ser. B, 3(3), pp.401~408 (2003)[DOI]
6. Q. Lin, "On the Cauchy problem for a generalized Boussinesq equation", J. Math. Anal. Appl., 353(1), pp.186~195 (2009)[DOI]
7. Y. Liu, "On potential wells and vacuum isolating of solutions for semilinear wave equations", J. Differential Equations, 192, pp.109~127 (2003)
8. Y. Liu, "Global existence and blow up of solutions for Cauchy problem of generalized Boussinesq equation", Phys. D, 237(6), pp.721~731 (2008)[DOI]
9. N. Polat, "Existence and blow-up of solution of Cauchy problem for the generalized damped multidimensional Boussinesq equation", J. Math. Anal. Appl., 349(1), pp.10~20 (2009)[DOI]
10. N. Polat, "Asymptotic behavior of a solution of the Cauchy problem for the generalized damped multidimensional Boussinesq equation", Appl. Math. Lett., 25(11), pp.1871~1874 (2012)[DOI]
11. T. Runst, "Sobolev spaces of fractional order, Nemytskij operators, and nonlinear partial differential equations, De Gruyter Series in Nonlinear Analysis and Applications, 3" (1996), Walter de Gruyter & Co.
12. G. Schneider, "Kawahara dynamics in dispersive media", Phys. D, 152, pp.153 (2001), 384~394
13. H. Wang, "Well-posedness for the Cauchy problem associated to a periodic Boussinesq equation", Nonlinear Anal., 89, pp.267~275 (2013)[DOI]
14. H. Wang, "Global rough solutions to the sixth-order Boussinesq equation", Nonlinear Anal., 102, pp.97~104 (2014)[DOI]
15. S. Wang, "Cauchy problem of the generalized double dispersion equation", Nonlinear Anal., 64(1), pp.159~173 (2006)[DOI]
16. S. Wang, "The Cauchy problem for the Rosenau equation", Nonlinear Anal., 71(1-2), pp.456~466 (2009)[DOI]
17. S. Wang, "Global solution for a generalized Boussinesq equation", Appl. Math. Comput., 204(1), pp.130~136 (2008)
18. H. Taskesen, "Existence of global solutions for a multidimensinal Boussinesq type equation with supercritical initial energy", First international Conference on Analysis and Applied Mathematics: ICAAM, AIP Conference Proceedings, 1470, pp.159~162 (2012)
19. H. Taskesen, "On global solutions for the Cauchy problem of a Boussinesq-type equation", Abstr. Appl. Anal., pp.10~ (2012)
20. Y. Wang, "Blow-up and scattering of solution for a generalized Boussinesq equation", Appl. Math. Comput., 188(2), pp.1131~1141 (2007)
21. Y. Wang, "Global existence and blow-up of the solutions for the multidimensional generalized Boussinesq equation", Math. Methods Appl. Sci., 30(12), pp.1403~1417 (2007)[DOI]
22. Y. Wang, "Strong instability of solitary-wave solutions for a nonlinear Boussinesq equation", Nonlinear Anal., 69(5-6), pp.1599~1614 (2008)[DOI]
23. Y.-Z. Wang, "Existence and nonexistence of global solutions for a class of nonlinear wave equations of higher order", Nonlinear Anal., 72(12), pp.4500~4507 (2010)[DOI]
24. R. Z. Xu, "Global existence and blowup of solutions for the multidimensional sixth-order "good" Boussinesq equation", Z. Angew. Math. Phys., 66(3), pp.955~976 (2015)[DOI]

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