A factorization of a quadratic pencils of accretive operators and applications

2020/07/29 by Fairouz Bouchelaghem, Bouchelaghem, F., Mohammed Benharrat +1
Computer Science · Mathematics · #47A10 #47A56 #Differential Equations and Boundary Problems #FOS: Mathematics #Functional Analysis (math.FA) #Matrix Theory and Algorithms #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2007.14674

openalex publication_date 2020/07/29 · openalex created_date 2020/08/03 · openalex updated_date 2026/07/28

Abstract

A canonical factorization is given for a quadratic pencil of accretive operators in a Hilbert space. Also, we establish some relationships between an m-accretive operator and its Moore-Penorse inverse. As an application, we study a result of existence, uniqueness, and maximal regularity of the strict solution for complete abstract second order differential equation in the non-homogeneous case. The paper is concluded with some questions left open from the preceding discussions.

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