Evolution Differential Equations in Fréchet Space with Schauder Basis

2014/11/29 by Oleg Zubelevich, Zubelevich, Oleg
Mathematics · #34G20 #58D25 #Advanced Banach Space Theory #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Nonlinear Differential Equations Analysis #math.AP #math.FA #msc:34G20 #msc:58D25

paper · pdf · doi:10.48550/arxiv.1412.0651

openalex publication_date 2014/11/29 · arxiv created 2015/03/11 · arxiv updated 2015/03/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider evolution differential equations in Fréchet spaces that possess unconditional Schauder basis and construct a version of the majorant functions method to obtain existence theorems for Cauchy problems. Applications to PDE and ODE have been considered.

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