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A Remark on the decay property for the Klein-Gordon equation in anti-de Sitter space time

Cilt: 5 Sayı: 4 1 Ekim 2017
  • Muhammet Yazici *
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A Remark on the decay property for the Klein-Gordon equation in anti-de Sitter space time

Abstract

We consider the inital value problem for the Klein-Gordon equation in anti-de Sitter spacetime. We derive the pointwise decay estimate by using the fundamental solution to the linear Klein Gordon equation in anti-de Sitter spacetime with source term.

Keywords

Kaynakça

  1. H. Bateman, A. Erdelyi, Higher Transcendental Functions", 1,2, McGraw-Hill, New York, 1953.
  2. P. Brenner, On the existence of global smooth solutions of certain semilinear hyperbolic equations, Math. Z. 167 (2) (1979), 99–135.
  3. J. Ginibre, G. Velo, The global Cauchy problem for the nonlinear Klein-Gordon equation, Math Z. 189(4) (1985), 487–505.
  4. J. Ginibre, G. Velo, The global Cauchy problem for the nonlinear Klein-Gordon equation II, Ann. Inst. H. Poincarè Anal. Linèaire 6(1) (1989), 15–35.
  5. K. Jörgens, Das Anfangswertproblem im Grossen für eine Klasse nichtlinearer Wellengleichungen, Math. Z. 77 (1961), 295–308.
  6. C. Møller, The Theory of Relativity", Clarendon Press, Oxford, 1972.
  7. H. Pecher, L^p-Abschützungen und klassische Lösungen für nichtlineare Wellengleichungen. I, Math. Z. 150 (1976), 159–183.
  8. K. Yagdjian, A. Galstian, The Klein-Gordon equation in anti-de Sitter spacetime, Rend. Sem. Mat. Univ. Pol. Torino 67 (2) (2009), 271–292.

Ayrıntılar

Birincil Dil

İngilizce

Konular

-

Bölüm

Araştırma Makalesi

Yazarlar

Muhammet Yazici * Bu kişi benim
Türkiye

Yayımlanma Tarihi

1 Ekim 2017

Gönderilme Tarihi

20 Haziran 2017

Kabul Tarihi

5 Ağustos 2017

Yayımlandığı Sayı

Yıl 2017 Cilt: 5 Sayı: 4

Kaynak Göster

APA
Yazici, M. (2017). A Remark on the decay property for the Klein-Gordon equation in anti-de Sitter space time. New Trends in Mathematical Sciences, 5(4), 142-147. https://izlik.org/JA55WF43UB
AMA
1.Yazici M. A Remark on the decay property for the Klein-Gordon equation in anti-de Sitter space time. New Trends in Mathematical Sciences. 2017;5(4):142-147. https://izlik.org/JA55WF43UB
Chicago
Yazici, Muhammet. 2017. “A Remark on the decay property for the Klein-Gordon equation in anti-de Sitter space time”. New Trends in Mathematical Sciences 5 (4): 142-47. https://izlik.org/JA55WF43UB.
EndNote
Yazici M (01 Ekim 2017) A Remark on the decay property for the Klein-Gordon equation in anti-de Sitter space time. New Trends in Mathematical Sciences 5 4 142–147.
IEEE
[1]M. Yazici, “A Remark on the decay property for the Klein-Gordon equation in anti-de Sitter space time”, New Trends in Mathematical Sciences, c. 5, sy 4, ss. 142–147, Eki. 2017, [çevrimiçi]. Erişim adresi: https://izlik.org/JA55WF43UB
ISNAD
Yazici, Muhammet. “A Remark on the decay property for the Klein-Gordon equation in anti-de Sitter space time”. New Trends in Mathematical Sciences 5/4 (01 Ekim 2017): 142-147. https://izlik.org/JA55WF43UB.
JAMA
1.Yazici M. A Remark on the decay property for the Klein-Gordon equation in anti-de Sitter space time. New Trends in Mathematical Sciences. 2017;5:142–147.
MLA
Yazici, Muhammet. “A Remark on the decay property for the Klein-Gordon equation in anti-de Sitter space time”. New Trends in Mathematical Sciences, c. 5, sy 4, Ekim 2017, ss. 142-7, https://izlik.org/JA55WF43UB.
Vancouver
1.Muhammet Yazici. A Remark on the decay property for the Klein-Gordon equation in anti-de Sitter space time. New Trends in Mathematical Sciences [Internet]. 01 Ekim 2017;5(4):142-7. Erişim adresi: https://izlik.org/JA55WF43UB