GLOBAL EXISTENCE OF SOLUTIONS FOR THE SEMILINEAR KLEIN-GORDON EQUATION WITH A TIME-DEPENDENT VARIABLE COEFFICIENT

被引：0

作者：

Yazici, Muhammet ^{[1
]}

机构：

[1] Karadeniz Tech Univ, Fac Sci, Dept Math, Trabzon, Turkey

来源：

THERMAL SCIENCE | 2022年 / 26卷 / SpecialIssue2期

关键词：

de Sitter spacetime; semilinear Klein-Gordon eqution; global solutions; L-infinity estimates; SCALAR FIELD; SITTER;

D O I：

10.2298/TSCI22S2591Y

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

The semilinear Klein-Gordon equation with initial conditions is studied in de Sitter spacetime. The L-infinity decay estimates are derived for the solutions to the linear Klein- Gordon equations with and without source term in de Sitter spacetime. It is also showed the global existence of solutions to the initial value problem with power type non-linear terms for small initial data by using these estimates.

引用

页码：S591 / S601

页数：11

共 50 条

[1] GLOBAL EXISTENCE OF SOLUTIONS FOR THE SEMILINEAR KLEIN-GORDON EQUATION WITH A TIME-DEPENDENT VARIABLE COEFFICIENT
Yazici, Muhammet
[J]. THERMAL SCIENCE, 2022, 26 : S591 - S601
[2] On the Existence of Global Solutions for a Nonlinear Klein-Gordon Equation
Polat, Necat
Taskesen, Hatice
[J]. FILOMAT, 2014, 28 (05) : 1073 - 1079
[3] SOLUTIONS OF TIME-DEPENDENT KLEIN-GORDON EQUATION IN A SCHWARZSCHILD BACKGROUND SPACE
ROWAN, DJ
STEPHENSON, G
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1976, 9 (10): : 1631 - 1635
[4] Time of existence for the semilinear Klein-Gordon equation with periodic Cauchy data
Delort, JM
[J]. AMERICAN JOURNAL OF MATHEMATICS, 1998, 120 (03) : 663 - 689
[5] Existence time for the one-dimensional semilinear Klein-Gordon equation
Delort, JM
[J]. BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE, 1997, 125 (02): : 269 - 311
[6] The Klein-Gordon Equation in a Domain with Time-Dependent Boundary
Pelloni, B.
Pinotsis, D. A.
[J]. STUDIES IN APPLIED MATHEMATICS, 2008, 121 (03) : 291 - 312
[7] ON MORAWETZ ESTIMATES WITH TIME-DEPENDENT WEIGHTS FOR THE KLEIN-GORDON EQUATION
Kim, Jungkwon
Lee, Hyeongjin
Seo, Ihyeok
Seok, Jihyeon
[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2020, 40 (11) : 6275 - 6288
[8] DAMPED KLEIN-GORDON EQUATION WITH VARIABLE DIFFUSION COEFFICIENT
Luo, Q. I. N. G. H. U. A.
[J]. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2021, 20 (11) : 3943 - 3958
[9] Global existence and blowup of solutions for a semilinear Klein-Gordon equation with the product of logarithmic and power-type nonlinearity
Khuddush M.
Prasad K.R.
Bharathi B.
[J]. ANNALI DELL'UNIVERSITA' DI FERRARA, 2022, 68 (1) : 187 - 201
[10] Global Nonexistence Of Solutions For A Nonlinear Klein-Gordon Equation With Variable Exponents
Piskin, Erhan
[J]. APPLIED MATHEMATICS E-NOTES, 2019, 19 : 315 - 323

← 1 2 3 4 5 →