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On Evolution of Invariant Riemannian MetricsRiemannian metric onGeneralized wallach space Generalized Wallach SpacesWallach space Under the Normalized Ricci FlowNormalized Ricci flow Read chapter Read first chapter

2017 | OriginalPaper | Chapter

Remark on a Regularized Trace Formula for m-Laplacian in a Punctured Domain

Authors : Gulzat Nalzhupbayeva, Niyaz Tokmagambetov

Published in: Functional Analysis in Interdisciplinary Applications

Publisher: Springer International Publishing

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Abstract

In this paper we extend results on regularized trace formulae which were established in [9, 10] for the Laplace and m-Laplace operators in a punctured domain with the fixed iterating order \(m\in \mathbb N\). By using techniques of Sadovnichii and Lyubishkin [21], the authors in the papers [9, 10] described regularized trace formulae in the spatial dimension \(d=2\). In this remark one is to be claimed that the formulae are also valid in the higher spatial dimensions, namely, \(2\le d \le 2m\). Also, we give the further discussions on a development of the analysis associated with the operators in punctured domains. This can be done by using so called ‘nonharmonic’ analysis.

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previous chapter A Sturm-Liouville Operator with a Negative Parameter and Its Applications to the Study of Differential Properties of Solutions for a Class of Hyperbolic Type Equations
next chapter Internal Boundary Value Problems for the Laplace Operator with Singularity Propagation
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Metadata
Title
Remark on a Regularized Trace Formula for m-Laplacian in a Punctured Domain
Authors
Gulzat Nalzhupbayeva
Niyaz Tokmagambetov
Copyright Year
2017
Book
Functional Analysis in Interdisciplinary Applications

Print ISBN: 978-3-319-67052-2

Electronic ISBN: 978-3-319-67053-9

Copyright Year: 2017

DOI
https://doi.org/10.1007/978-3-319-67053-9_25

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