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Physical Sciences and Engineering Mathematics Analysis

Large time behavior of global solutions of the semilinear damped beam equation with slowly decaying data

Article ID Journal Published Year Pages File Type
6417936 Journal of Mathematical Analysis and Applications 2015 15 Pages PDF
Abstract

We discuss the existence of the global solution and its asymptotic profile for the Cauchy problem for the nonlinear damped beam equation. We show that the equation admits a unique global solution with small slowly decaying data e.g. (1+x2)−k2, 0

Keywords
Damped beam equationPerturbationAsymptotic profileCauchy problem
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Preview
Large time behavior of global solutions of the semilinear damped beam equation with slowly decaying data
Authors
Hiroshi Takeda,
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Journal
Journal of Mathematical Analysis and Applications
Journal: Journal of Mathematical Analysis and Applications
Related Categories
Damped beam equation
Perturbation
Asymptotic profile
Cauchy problem
Algebra and Number Theory
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