Quasilinear Evolution Equations in LμP-Spaces with Lower Regular Initial Data
Author
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-05-02
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
We study the Cauchy problem of the quasilinear evolution equations in Lμp-spaces.
Based on the theories of maximal Lp-regularity of sectorial operators, interpolation spaces, and time-weighted Lp-spaces, we establish the local posedness for a class of abstract quasilinear evolution equations with lower regular initial data.
To illustrate our results, we also deal with the second-order parabolic equations and the Navier-Stokes equations in Lp,q-spaces with temporal weights.
American Psychological Association (APA)
Zhang, Qinghua. 2018. Quasilinear Evolution Equations in LμP-Spaces with Lower Regular Initial Data. Journal of Function Spaces،Vol. 2018, no. 2018, pp.1-11.
https://search.emarefa.net/detail/BIM-1185931
Modern Language Association (MLA)
Zhang, Qinghua. Quasilinear Evolution Equations in LμP-Spaces with Lower Regular Initial Data. Journal of Function Spaces No. 2018 (2018), pp.1-11.
https://search.emarefa.net/detail/BIM-1185931
American Medical Association (AMA)
Zhang, Qinghua. Quasilinear Evolution Equations in LμP-Spaces with Lower Regular Initial Data. Journal of Function Spaces. 2018. Vol. 2018, no. 2018, pp.1-11.
https://search.emarefa.net/detail/BIM-1185931
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1185931