Existence and asymptotic behavior of solutions for a Klein-Gordon system
Cl\'adio O. P. Da Silva, Aldo T. Louredo, Manuel Milla Miranda
TL;DR
This paper investigates the global existence, uniqueness, and long-term behavior of solutions for a Klein-Gordon system with mixed boundary conditions, providing insights into its mathematical properties.
Contribution
It establishes the conditions for existence and uniqueness of solutions and analyzes their asymptotic behavior, advancing understanding of Klein-Gordon systems.
Findings
Proves global existence and uniqueness under certain conditions
Analyzes the asymptotic decay or stability of solutions
Provides mathematical framework for Klein-Gordon systems with mixed boundary conditions
Abstract
In this paper we study the global existence and uniqueness of solution for a Klein-Gordon equations system with mixed boundary conditions. Also we analyze the asymptotic behavior of this solution.
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Taxonomy
TopicsStability and Controllability of Differential Equations · Nonlinear Differential Equations Analysis · Advanced Mathematical Physics Problems