Abstract:
We consider the Klein–Gordon equation with a localized initial condition
and describe the transition of the solution from localized to rapidly
oscillating when the equation parameter changes.
Citation:
A. A. Tolchennikov, “Behavior of the solution of the Klein–Gordon equation with a localized initial condition”, TMF, 199:2 (2019), 330–340; Theoret. and Math. Phys., 199:2 (2019), 761–770
This publication is cited in the following 3 articles:
S.Yu. Dobrokhotov, E.S. Smirnova, “Asymptotics of the Solution of the Initial Boundary Value Problem for the One-Dimensional Klein–Gordon Equation with Variable Coefficients”, Russ. J. Math. Phys., 31:2 (2024), 187
E. S. Smirnova, “Asymptotics of the Solution of an Initial–Boundary Value Problem for the One-Dimensional Klein–Gordon Equation on the Half-Line”, Math. Notes, 114:4 (2023), 608–618
S. Yu. Dobrokhotov, V. E. Nazaikinskii, A. I. Shafarevich, “Efficient asymptotics of solutions to the Cauchy problem with localized initial data for linear systems of differential and pseudodifferential equations”, Russian Math. Surveys, 76:5 (2021), 745–819