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The Well-Posedness of the Solutions Based on the L1 Initial Value Condition
Joint Authors
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-09-16
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
The non-Newtonian polytropic filtration equation ut=div(a(x)|∇um|p-2∇um) is considered.
Only if u0(x)∈L1(Ω), the well-posedness of solutions is studied.
If the diffusion coefficient is degenerate on the boundary, then stability of the weak solutions is proved only depending upon the initial value conditions.
American Psychological Association (APA)
Zhan, Huashui& Zhou, Zhen. 2018. The Well-Posedness of the Solutions Based on the L1 Initial Value Condition. Journal of Function Spaces،Vol. 2018, no. 2018, pp.1-12.
https://search.emarefa.net/detail/BIM-1186497
Modern Language Association (MLA)
Zhan, Huashui& Zhou, Zhen. The Well-Posedness of the Solutions Based on the L1 Initial Value Condition. Journal of Function Spaces No. 2018 (2018), pp.1-12.
https://search.emarefa.net/detail/BIM-1186497
American Medical Association (AMA)
Zhan, Huashui& Zhou, Zhen. The Well-Posedness of the Solutions Based on the L1 Initial Value Condition. Journal of Function Spaces. 2018. Vol. 2018, no. 2018, pp.1-12.
https://search.emarefa.net/detail/BIM-1186497
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1186497