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Year 2020, Volume: 3 Issue: 1, 53 - 56, 25.03.2020
https://doi.org/10.33434/cams.679721

Abstract

References

  • [1] J. Wu, S. Li, S. Chai, Existence and nonexistence of a global solution for coupled nonlinear wave equations with damping and source, Nonlinear Anal., 72(11) (2010), 3969-3975.
  • [2] L. Fei, G. Hongjun, Global nonexistence of positive initial-energy solutions for coupled nonlinear wave equations with damping and source terms, Abstr. Appl. Anal., (2011) 1-14.
  • [3] E. Pişkin, N. Polat, Global existence, decay and blowup solution for coupled nonlinearwave equations with damping and source terms, Turk. J. Math., 37 (2013), 633-651.
  • [4] R.A. Adams, J.J.F. Fournier, Sobolev Spaces, Academic Press, 2003.
  • [5] A. Peyravi, Lower bounds of blow up time for a system of semilinear hyperbolic Petrovsky equations, Acta Math. Sci. 36B(3) (2016), 683-688.
  • [6] E. Pişkin, Lower bounds for blow up time of coupled nonlinear Klein-Gordon equations, Gulf Journal of Mathematics, 5(2) (2017), 56-61.
  • [7] N. Mezaour, E. Pişkin, Decay rate and blow up solutions for coupled quasilinear system, Boletin de la Sociedad Matematica Mexicana. (in press)

Lower Bounds for the Blow up Time to a Coupled Nonlinear Hyperbolic Type Equations

Year 2020, Volume: 3 Issue: 1, 53 - 56, 25.03.2020
https://doi.org/10.33434/cams.679721

Abstract

The initial and Dirichlet boundary value problem of nonlinear hyperbolic type equations in a bounded domain is studied. We established a lower bounds for the blow up time.

References

  • [1] J. Wu, S. Li, S. Chai, Existence and nonexistence of a global solution for coupled nonlinear wave equations with damping and source, Nonlinear Anal., 72(11) (2010), 3969-3975.
  • [2] L. Fei, G. Hongjun, Global nonexistence of positive initial-energy solutions for coupled nonlinear wave equations with damping and source terms, Abstr. Appl. Anal., (2011) 1-14.
  • [3] E. Pişkin, N. Polat, Global existence, decay and blowup solution for coupled nonlinearwave equations with damping and source terms, Turk. J. Math., 37 (2013), 633-651.
  • [4] R.A. Adams, J.J.F. Fournier, Sobolev Spaces, Academic Press, 2003.
  • [5] A. Peyravi, Lower bounds of blow up time for a system of semilinear hyperbolic Petrovsky equations, Acta Math. Sci. 36B(3) (2016), 683-688.
  • [6] E. Pişkin, Lower bounds for blow up time of coupled nonlinear Klein-Gordon equations, Gulf Journal of Mathematics, 5(2) (2017), 56-61.
  • [7] N. Mezaour, E. Pişkin, Decay rate and blow up solutions for coupled quasilinear system, Boletin de la Sociedad Matematica Mexicana. (in press)
There are 7 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Articles
Authors

Erhan Pişkin 0000-0001-6587-4479

Yavuz Dinç 0000-0003-0897-4101

Prof.dr.cemil Tunc 0000-0003-2909-8753

Publication Date March 25, 2020
Submission Date January 24, 2020
Acceptance Date February 24, 2020
Published in Issue Year 2020 Volume: 3 Issue: 1

Cite

APA Pişkin, E., Dinç, Y., & Tunc, P. (2020). Lower Bounds for the Blow up Time to a Coupled Nonlinear Hyperbolic Type Equations. Communications in Advanced Mathematical Sciences, 3(1), 53-56. https://doi.org/10.33434/cams.679721
AMA Pişkin E, Dinç Y, Tunc P. Lower Bounds for the Blow up Time to a Coupled Nonlinear Hyperbolic Type Equations. Communications in Advanced Mathematical Sciences. March 2020;3(1):53-56. doi:10.33434/cams.679721
Chicago Pişkin, Erhan, Yavuz Dinç, and Prof.dr.cemil Tunc. “Lower Bounds for the Blow up Time to a Coupled Nonlinear Hyperbolic Type Equations”. Communications in Advanced Mathematical Sciences 3, no. 1 (March 2020): 53-56. https://doi.org/10.33434/cams.679721.
EndNote Pişkin E, Dinç Y, Tunc P (March 1, 2020) Lower Bounds for the Blow up Time to a Coupled Nonlinear Hyperbolic Type Equations. Communications in Advanced Mathematical Sciences 3 1 53–56.
IEEE E. Pişkin, Y. Dinç, and P. Tunc, “Lower Bounds for the Blow up Time to a Coupled Nonlinear Hyperbolic Type Equations”, Communications in Advanced Mathematical Sciences, vol. 3, no. 1, pp. 53–56, 2020, doi: 10.33434/cams.679721.
ISNAD Pişkin, Erhan et al. “Lower Bounds for the Blow up Time to a Coupled Nonlinear Hyperbolic Type Equations”. Communications in Advanced Mathematical Sciences 3/1 (March 2020), 53-56. https://doi.org/10.33434/cams.679721.
JAMA Pişkin E, Dinç Y, Tunc P. Lower Bounds for the Blow up Time to a Coupled Nonlinear Hyperbolic Type Equations. Communications in Advanced Mathematical Sciences. 2020;3:53–56.
MLA Pişkin, Erhan et al. “Lower Bounds for the Blow up Time to a Coupled Nonlinear Hyperbolic Type Equations”. Communications in Advanced Mathematical Sciences, vol. 3, no. 1, 2020, pp. 53-56, doi:10.33434/cams.679721.
Vancouver Pişkin E, Dinç Y, Tunc P. Lower Bounds for the Blow up Time to a Coupled Nonlinear Hyperbolic Type Equations. Communications in Advanced Mathematical Sciences. 2020;3(1):53-6.

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