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On Solvability of Third-Order Operator Differential Equation with Parabolic Principal Part in Weighted Space
Joint Authors
Aliev, Araz R.
Mirzoev, Sabir S.
Soylemezo, Mustafa A.
Source
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-10-31
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
Sufficient conditions are found for the correct and unique solvability of a class of third-order parabolic operator differential equations, whose principal parts have multiple characteristics, in a Sobolev-type space with exponential weight.
The estimates for the norms of intermediate derivative operators are obtained and the relationship between these estimates and solvability conditions is established.
Besides, the connection is found between the order of exponential weight and the lower bound for the spectrum of abstract operator appearing in the principal part of the equation.
American Psychological Association (APA)
Aliev, Araz R.& Mirzoev, Sabir S.& Soylemezo, Mustafa A.. 2017. On Solvability of Third-Order Operator Differential Equation with Parabolic Principal Part in Weighted Space. Journal of Function Spaces،Vol. 2017, no. 2017, pp.1-8.
https://search.emarefa.net/detail/BIM-1176377
Modern Language Association (MLA)
Aliev, Araz R.…[et al.]. On Solvability of Third-Order Operator Differential Equation with Parabolic Principal Part in Weighted Space. Journal of Function Spaces No. 2017 (2017), pp.1-8.
https://search.emarefa.net/detail/BIM-1176377
American Medical Association (AMA)
Aliev, Araz R.& Mirzoev, Sabir S.& Soylemezo, Mustafa A.. On Solvability of Third-Order Operator Differential Equation with Parabolic Principal Part in Weighted Space. Journal of Function Spaces. 2017. Vol. 2017, no. 2017, pp.1-8.
https://search.emarefa.net/detail/BIM-1176377
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1176377