A differentiation operator with nonregular boundary conditions
type: Item
instance of: scholarly article
title: A differentiation operator with nonregular boundary conditions
zbMATH Open document ID: 0915.34015
author: Yu. T. Silchenko
published in: Russian Mathematics
publication date: 1998-10-18T00:00:00Z
review text: The differentiation operator \(L\) on \(L_p(0,1)\) with some boundary conditions is discussed . The author separates out some classes of nonregular boundary conditions, and gives a sharp estimate for the resolvent \((L-\lambda I)^{-1}\) with respect to the norm \(| \text{arg }\lambda| <\pi-\varepsilon\), \(| \lambda| \geq R_{\varepsilon}>0\), for some \(\varepsilon>0\).
reviewed by: Yujun Dong
Mathematics Subject Classification ID: 34B05
zbMATH DE Number: 1175192
zbMATH Keywords: differentiation operator
zbMATH Keywords: nonregular boundary conditions
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1175192