Weak periodic solutions of some quasilinear parabolic systems with data measures
Joint Authors
Source
The Arabian Journal for Science and Engineering. Section A, Science
Issue
Vol. 30, Issue 2A (31 Jul. 2005), pp.257-276, 20 p.
Publisher
King Fahd University of Petroleum and Minerals
Publication Date
2005-07-31
Country of Publication
Saudi Arabia
No. of Pages
20
Main Subjects
Topics
Abstract AR
تھدف هذه الورقة إلى دراسة وجود حلول دوریة ضعیفة لبعض الأنظمة الهدلولیة شبھ الخطیة مع معطیات مقاسة، و نماء حرج غیر خطي بالنسبة للمشتقة. و لا یمكننا هنا تطبیق الطریقة الكلاسیكیة المعتمدة على تقییمات الحلول و مشتقاتھا نظراً لانعدام تناسق المعطیات المقاسة، و بالمقابل اعتمدنا على أسالیب أخرى أدت إلى النتیجتین التالیتین : • وجود شروط لازمة على المعطیات المقاسة من أجل الحصول على حلول دوریة ضعیفة. • وجود حل ضعیف فوق دوري یكفي لوجود حل ضعیف دوري.
Abstract EN
The goal of this paper is to study existence of weak periodic solutions for some quasilinear parabolic systems with data measures and critical growth nonlinearity with respect to the gradient.
The classical techniques based on Cα-estimates for the solution or its gradient cannot be applied because of the lack of regularity and a new approach must be considered.
Various necessary conditions are obtained on the data for existence.
The existence of at least one weak periodic solution is proved under the assumption that a weak periodic super solution is known
American Psychological Association (APA)
Ala, N.& Iguirnani, M.. 2005. Weak periodic solutions of some quasilinear parabolic systems with data measures. The Arabian Journal for Science and Engineering. Section A, Science،Vol. 30, no. 2A, pp.257-276.
https://search.emarefa.net/detail/BIM-359757
Modern Language Association (MLA)
Ala, N.& Iguirnani, M.. Weak periodic solutions of some quasilinear parabolic systems with data measures. The Arabian Journal for Science and Engineering. Section A, Science Vol. 30, no. 2A (Jul. 2005), pp.257-276.
https://search.emarefa.net/detail/BIM-359757
American Medical Association (AMA)
Ala, N.& Iguirnani, M.. Weak periodic solutions of some quasilinear parabolic systems with data measures. The Arabian Journal for Science and Engineering. Section A, Science. 2005. Vol. 30, no. 2A, pp.257-276.
https://search.emarefa.net/detail/BIM-359757
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 275-276
Record ID
BIM-359757