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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
It is proved that the solution depends continuously on changes in the damping terms, diffusion, mass, and nonlinearity effect term in the $H^1$ norm.
📌 3 Key Takeaways
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Objective & Hypothesis:This article is devoted to the study of the initial-boundary value problem for the strongly damped nonlinear Klein-Gordon equation.
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Key Findings & Data:This article is devoted to the study of the initial-boundary value problem for the strongly damped nonlinear Klein-Gordon equation.
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Conclusion & Impact:It is proved that the solution depends continuously on changes in the damping terms, diffusion, mass, and nonlinearity effect term in the $H^1$ norm.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Structural stability · nonlinear Klein-Gordon equation · continuous dependence
Abstract
This article is devoted to the study of the initial-boundary value problem for the strongly damped nonlinear Klein-Gordon equation. It is proved that the solution depends continuously on changes in the damping terms, diffusion, mass, and nonlinearity effect term in the $H^1$ norm.
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Cite This Article
GÜR, Ş., UYSAL, M. E. (2018). Continuous dependence of solutions to the strongly damped nonlinear Klein-Gordon equation. Turkish Journal of Mathematics, Cilt: 42 - Sayı: 3, 904–910. https://ajindex.com/articles/723109