TY - JOUR TI - Global existence of solutions for the semilinear Klein-Gordon equation with a time-dependent variable coefficient AU - Yazici Muhammet JN - Thermal Science PY - 2022 VL - 26 IS - 102 SP - 591 EP - 601 PT - Article AB - The semilinear Klein-Gordon equation with initial conditions is studied in de Sitter spacetime. The L∞ 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