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《分析,理论与应用(英文版)》 2013-03
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Renormalized Solutions for Nonlinear Parabolic Systems with Three Unbounded Nonlinearities in Weighted Sobolev Spaces

Y. Akdim;J. Bennouna;A. Bouajaja;M.Mekkour;UniversitSidi Mohamed Ben Abdellah,Laboratoire LAMA,Facultdes Sciences Dhar-Mahraz,Fès,Morocco;UniversitSidi Mohamed Ben Abdellah,Laboratoire Informatique,Mathe′matique,Automatique et Optoe′lectronique [LIMAO],FacultPoly-disciplinaire de Taza,B.P 1223 Taza Gare,Maroc;  
We prove an existence result without assumptions on the growth of some nonlinear terms, and the existence of a renormalized solution. In this work, we study the existence of renormalized solutions for a class of nonlinear parabolic systems with three unbounded nonlinearities, in the form b1(x,u1) t div a(x, t, u1, Du1) +div Φ1(u1) + f1(x,u1,u2) = 0 in Q, b2(x,u2) t div a(x, t, u2, Du2) +div Φ2(u2) + f2(x,u1,u2) = 0 in Q, in the framework of weighted Sobolev spaces, where b(x,u) is unbounded function on u, the Carathe′odory function aisatisfying the coercivity condition, the general growth condition and only the large monotonicity, the function φiis assumed to be continuous on R and not belong to(L1 loc(Q))N.
【CateGory Index】: O175.26
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【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 LIANG Yi,HAN Xiang-ling,XU Gao(College of Mathematics and Computational Science,Changsha University of Science & Technology,Changsha 410014,China);Mixing enhancement in model of the Streeter-phelps by optimal tuning of flows[J];Journal of Hunan University of Arts and Science(Natural Science Edition);2011-02
2 GU Xing(College of Science,Donghua University,Shanghai 201620,China);Mathematical Analysis of a Predator-Prey Model[J];Journal of Donghua University(Natural Science);2012-01
3 GUO Jin-yong(Department of Mathematics and Computer Science Liuzhou Teachers College,Liuzhou 545004,China);The Existence of Weak Solution for a Fourth Order Degenerate Parabolic Equation with Nonlinear Item[J];College Mathematics;2009-05
4 GUO Qiu-xiang;ZENG You-dong;College of Mathematics and Computer Science,Fuzhou University;;The existence of the weak solution of nonlinear parabolic equations with double variable exponents[J];Journal of Fuzhou University(Natural Science Edition);2014-01
5 GUO Jin-yong(Department of Mathematics and Computer Science,Liuzhou Teachers College,Liuzhou,Guangxi 545004,China);The Existence of Weak Solutions for a Fourth Order Degenerate Parabolic Equation with Nonlinear Relation[J];Journal of Hechi University;2008-02
6 YI Fahuai, TAO Youshan LIU Zuhan(Department of Mathematics, Suzhou University, Suzhou 215006, China);Quasi-stationary Stefan problem as limit case of Mullins-Sekerka problem[J];中国科学A辑(英文版);1997-02
7 Guo Jinyong(Department of Mathematics and Computer Science,Liuzhou Teachers College,Liuzhou 545004,China);The Existence of Weak Solutions for a Degenerate Pseudoparabolic Equation[J];Journal of Nanjing Normal University(Natural Science Edition);2013-02
8 LI Yongjun;ZHAO Tinggang;TANG Xiaohui;School of Mathematics,Lanzhou City University;;Regularity and uniqueness of solution for doubly nonlinear parabolic equation[J];Journal of Huazhong Normal University(Natural Sciences);2013-05
9 GE ZhaoQiang;FENG DeXing;Department of Applied Mathematics, Xi’an Jiaotong University;Institute of Systems Science, Academy of Mathematics and Systems Science, Chinese Academy of Science;;Well-posed problem of nonlinear singular distributed parameter systems and nonlinear GE-semigroup[J];中国科学:信息科学(英文版);2013-12
10 GUO Jinyong;Department of Mathematics and Computer Science,Liuzhou Teachers College;;The Existence of Weak Solutions for a Class of Fourth Order Nonlinear Parabolic Equation[J];Journal of South China Normal University(Natural Science Edition);2013-05
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