Semi-Linear Fractional σ-Evolution Equations with Nonlinear Memory

• 来源期刊: 偏微分方程（英文版）
• 年，卷（期）: 2020,（4）
• 页码范围: 291-312
• 页数: 22页
• 分类号: O175.27
• 语种: 英文
• DOI: 10.4208/jpde.v33.n4.1

摘要

In this paper we study the local or global (in time) existence of small data solutions to semi-linear fractional σ-evolution equations with nonlinear memory.Our main goals is to explain on the one hand the influence of the memory term and on the other hand the influence of higher regularity of the data on qualitative properties of solutions.