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Linear Sobolev Type Equations with Relatively p-Sectorial Operators in Space of “Noises”
Joint Authors
Sviridyuk, G. A.
Manakova, N. A.
Favini, Angelo
Source
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-11-23
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
The concept of “white noise,” initially established in finite-dimensional spaces, is transferred to infinite-dimensional case.
The goal of this transition is to develop the theory of stochastic Sobolev type equations and to elaborate applications of practical interest.
To reach this goal the Nelson-Gliklikh derivative is introduced and the spaces of “noises” are developed.
The Sobolev type equations with relatively sectorial operators are considered in the spaces of differentiable “noises.” The existence and uniqueness of classical solutions are proved.
The stochastic Dzektser equation in a bounded domain with homogeneous boundary condition and the weakened Showalter-Sidorov initial condition is considered as an application.
American Psychological Association (APA)
Favini, Angelo& Sviridyuk, G. A.& Manakova, N. A.. 2015. Linear Sobolev Type Equations with Relatively p-Sectorial Operators in Space of “Noises”. Abstract and Applied Analysis،Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1052087
Modern Language Association (MLA)
Favini, Angelo…[et al.]. Linear Sobolev Type Equations with Relatively p-Sectorial Operators in Space of “Noises”. Abstract and Applied Analysis No. 2015 (2015), pp.1-8.
https://search.emarefa.net/detail/BIM-1052087
American Medical Association (AMA)
Favini, Angelo& Sviridyuk, G. A.& Manakova, N. A.. Linear Sobolev Type Equations with Relatively p-Sectorial Operators in Space of “Noises”. Abstract and Applied Analysis. 2015. Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1052087
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1052087