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Regularity of Weakly Well-Posed Characteristic Boundary Value Problems
Joint Authors
Secchi, Paolo
Morando, Alessandro
Source
International Journal of Differential Equations
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-39, 39 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-12-02
Country of Publication
Egypt
No. of Pages
39
Main Subjects
Abstract EN
We study the boundary value problem for a linear first-order partial differential system with characteristic boundary of constant multiplicity.
We assume the problem to be “weakly” well posed, in the sense that a unique L2-solution exists, for sufficiently smooth data, and obeys an a priori energy estimate with a finite loss of tangential/conormal regularity.
This is the case of problems that do not satisfy the uniform Kreiss-Lopatinskiĭ condition in the hyperbolic region of the frequency domain.
Provided that the data are sufficiently smooth, we obtain the regularity of solutions, in the natural framework of weighted conormal Sobolev spaces.
American Psychological Association (APA)
Morando, Alessandro& Secchi, Paolo. 2010. Regularity of Weakly Well-Posed Characteristic Boundary Value Problems. International Journal of Differential Equations،Vol. 2010, no. 2010, pp.1-39.
https://search.emarefa.net/detail/BIM-478567
Modern Language Association (MLA)
Morando, Alessandro& Secchi, Paolo. Regularity of Weakly Well-Posed Characteristic Boundary Value Problems. International Journal of Differential Equations No. 2010 (2010), pp.1-39.
https://search.emarefa.net/detail/BIM-478567
American Medical Association (AMA)
Morando, Alessandro& Secchi, Paolo. Regularity of Weakly Well-Posed Characteristic Boundary Value Problems. International Journal of Differential Equations. 2010. Vol. 2010, no. 2010, pp.1-39.
https://search.emarefa.net/detail/BIM-478567
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-478567