A remark on semi-linear damped σ-evolution equations with a modulus of continuity term in nonlinearity

2019/04/01 by Tuan Anh Dao, Dao, Tuan Anh, Michael Reissig +1
Mathematics · Physics and Astronomy · #26A15 #35L30 #35L76 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Fractional Differential Equations Solutions #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.1904.00698

openalex publication_date 2019/04/01 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28

Abstract

In this article, we indicate that under suitable assumptions of a modulus of continuity we obtain either the global (in time) existence of small data Sobolev solutions or the blow-up result of local (in time) Sobolev solutions to semi-linear damped σ-evolution equations with a modulus of continuity term in nonlinearity.

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