Well-Posedness of Nonlocal Parabolic Differential Problems with Dependent Operators
Joint Authors
Hanalyev, Asker
Ashyralyev, Allaberen
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-01-12
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
The nonlocal boundary value problem for the parabolic differential equation v ' ( t ) + A ( t ) v ( t ) = f ( t ) ( 0 ≤ t ≤ T ) , v ( 0 ) = v ( λ ) + φ , 0 < λ ≤ T in an arbitrary Banach space E with the dependent linear positive operator A ( t ) is investigated.
The well-posedness of this problem is established in Banach spaces C 0 β , γ ( E α - β ) of all E α - β -valued continuous functions φ ( t ) on [ 0 , T ] satisfying a Hölder condition with a weight ( t + τ ) γ .
New Schauder type exact estimates in Hölder norms for the solution of two nonlocal boundary value problems for parabolic equations with dependent coefficients are established.
American Psychological Association (APA)
Ashyralyev, Allaberen& Hanalyev, Asker. 2014. Well-Posedness of Nonlocal Parabolic Differential Problems with Dependent Operators. The Scientific World Journal،Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1049946
Modern Language Association (MLA)
Ashyralyev, Allaberen& Hanalyev, Asker. Well-Posedness of Nonlocal Parabolic Differential Problems with Dependent Operators. The Scientific World Journal No. 2014 (2014), pp.1-11.
https://search.emarefa.net/detail/BIM-1049946
American Medical Association (AMA)
Ashyralyev, Allaberen& Hanalyev, Asker. Well-Posedness of Nonlocal Parabolic Differential Problems with Dependent Operators. The Scientific World Journal. 2014. Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1049946
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1049946