A Classification of Fourth-Order Dissipative Differential Operators

This paper is devoted to the classification of the fourth-order dissipative differential operators by the boundary conditions. Subject to certain conditions, we determine some nonself-adjoint boundary conditions that generate the fourth-order differential operators to be dissipative. And under certa...

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Bibliographic Details
Published inJournal of function spaces Vol. 2020; no. 2020; pp. 1 - 9
Main Authors Wang, Tao, Yang, Mei-chun, Ao, Ji-jun
Format Journal Article
LanguageEnglish
Published Cairo, Egypt Hindawi Publishing Corporation 21.01.2020
Hindawi
John Wiley & Sons, Inc
Wiley
Subjects
Boundary conditions
Classification
Differential equations
Eigenvalues
Operators (mathematics)
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ISSN2314-8896
2314-8888
DOI10.1155/2020/7510313

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Summary:This paper is devoted to the classification of the fourth-order dissipative differential operators by the boundary conditions. Subject to certain conditions, we determine some nonself-adjoint boundary conditions that generate the fourth-order differential operators to be dissipative. And under certain conditions, we prove that these dissipative operators have no real eigenvalues.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:2314-8896
2314-8888
DOI:10.1155/2020/7510313