Peano type theorem for abstract parabolic equations

2006/11/15 by Oleg Zubelevich, Zubelevich, Oleg
Engineering · Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.math/0611456

openalex publication_date 2006/11/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider parabolic problems with non-Lipschitz nonlinearity in the different scales of Banach spaces and prove local-in-time existence theorem. New class of parabolic equations that have analytic solutions is obtained.

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