Sharp higher-order L²-asymptotic expansion of solutions to σ-evolution equations with different damping types

2024/09/06 by Dinh Van Duong, Van Duong, Dinh, Tuan Anh Dao +1
Computer Science · Engineering · Mathematics · #35B40 #35L15 #35L30 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Numerical Methods #FOS: Mathematics #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.2409.04287

openalex publication_date 2024/09/06 · openalex created_date 2024/10/21 · openalex updated_date 2026/07/28

Abstract

In this paper, our main goal is to achieve the high-order asymptotic expansion of solutions to σ-evolution equations with different damping types in the L² framework. Throughout this, we observe the influence of parabolic like models corresponding to σ₁ ∈ [0, σ/2) and σ-evolution like models corresponding to σ₂ ∈ (σ/2, σ] on the asymptotic behavior of solutions.

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