Nonharmonic analysis of boundary value problems without WZ condition
File(s)L with DS_2016.10.07.pdf (371.68 KB)
Accepted version
Author(s)
Ruzhansky, M
Tokmagambetov, N
Type
Journal Article
Abstract
In this work we continue our research on nonharmonic analysis of
boundary value problems as initiated in [RT16]. There, we assumed that the eigen-
functions of the model operator on which the construction is based do not have
zeros. In this paper we have weakened this condition extending the applicability
of the developed pseudo-di erential analysis. Also, we do not assume that the
underlying set is bounded.
boundary value problems as initiated in [RT16]. There, we assumed that the eigen-
functions of the model operator on which the construction is based do not have
zeros. In this paper we have weakened this condition extending the applicability
of the developed pseudo-di erential analysis. Also, we do not assume that the
underlying set is bounded.
Date Issued
2017-02-03
Date Acceptance
2016-10-11
Citation
Mathematical Modelling of Natural Phenomena, 2017, 12 (1), pp.115-140
ISSN
0973-5348
Publisher
EDP Sciences
Start Page
115
End Page
140
Journal / Book Title
Mathematical Modelling of Natural Phenomena
Volume
12
Issue
1
Copyright Statement
© EDP Sciences, 2017
Sponsor
Engineering & Physical Science Research Council (EPSRC)
The Leverhulme Trust
Grant Number
EP/K039407/1
RPG-2014-002
Subjects
Science & Technology
Life Sciences & Biomedicine
Physical Sciences
Mathematical & Computational Biology
Mathematics, Interdisciplinary Applications
Multidisciplinary Sciences
Mathematics
Science & Technology - Other Topics
pseudo-differential operators
boundary value problems
Fourier series
non-local boundary condition
nonharmonic analysis
PSEUDODIFFERENTIAL-OPERATORS
math.FA
math.AP
math.SP
Primary 58J40, Secondary 35S05, 35S30, 42B05
0102 Applied Mathematics
Publication Status
Published