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《Acta Analysis Functionalis Applicata》 2013-01
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Existence and Uniqueness of Strong Solutions for a Parabolic Quasilinear Problem with Perturbations

RUI Jie,ZUO Wenjie College of Science,China University of Petroleum(East China),Qingdao 266555,China  
In this paper,we prove existence and uniqueness of strong solutions for perturbations of a parabolic quasilinear problem with Dirichlet boundary conditions when the initial data is an L~2(Ω) function.
【Fund】: Fundamental Research Funds for the Central Universities(12CX04081A 11CX04058A);; 山东省自然科学基金(ZR2011AQ017)
【CateGory Index】: O175.26
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【Citations】
Chinese Journal Full-text Database 3 Hits
1 Rui Jie (School of Mathematics and Computational Sciences,China University of Petroleum, Shandong Dongying 257061) Yang Xiaoping (School of Science,Nanjing University of Science and Technology,Nanjing 210094);Existence of Weak Solutions for the Minimizing Total Variation Flow with Dirichlet Boundary Conditions[J];Acta Mathematica Scientia;2011-04
2 RUI Jie,LI Wei-guo College of Mathematics and Computational Science,China University of Petroleum,Dongying 257061,China;Existence of a Class of Minimization Problems[J];Acta Analysis Functionalis Applicata;2009-03
3 RUI Jie1,YANG Xiao-ping21.College of Mathematics and Computational Science,China University of Petroleum,Dongying 257061,China2.School of Science,Nanjing University of Science and Technology,Nanjing 210094,China;Existence of Weak Solutions for the Minimizing Total Variation Flow with Neumann Boundary Conditions[J];Acta Analysis Functionalis Applicata;2009-04
【Co-citations】
Chinese Journal Full-text Database 3 Hits
1 Zhigang WANG 1 Yachun LI 21 Department of Mathematics,Shanghai Jiao Tong University,Shanghai 200240,China;Department of Mathematics,Fuyang Teachers College,Fuyang 236029,Anhui,China.sjtu.edu.cn 2 Corresponding author.Department of Mathematics,Shanghai Jiao Tong University,Shanghai 200240,China.;Applications of the Kinetic Formulation for Scalar Conservation Laws with a Zero-Flux Type Boundary Condition[J];数学年刊B辑(英文版);2012-03
2 Rui Jie (School of Mathematics and Computational Sciences,China University of Petroleum, Shandong Dongying 257061) Yang Xiaoping (School of Science,Nanjing University of Science and Technology,Nanjing 210094);Existence of Weak Solutions for the Minimizing Total Variation Flow with Dirichlet Boundary Conditions[J];Acta Mathematica Scientia;2011-04
3 RUI Jie1,YANG Xiao-ping21.College of Mathematics and Computational Science,China University of Petroleum,Dongying 257061,China2.School of Science,Nanjing University of Science and Technology,Nanjing 210094,China;Existence of Weak Solutions for the Minimizing Total Variation Flow with Neumann Boundary Conditions[J];Acta Analysis Functionalis Applicata;2009-04
【Secondary Citations】
Chinese Journal Full-text Database 2 Hits
1 Zhao Peibiao Yang Xiaoping (Department of Applied Mathematics,Nanjing University of Science and Technology,Nanjing 210094);Existence Theorem of Micro-Tangent Sets of Continuous Functions[J];Acta Mathematica Scientia;2008-05
2 RUI Jie1,YANG Xiao-ping21.College of Mathematics and Computational Science,China University of Petroleum,Dongying 257061,China2.School of Science,Nanjing University of Science and Technology,Nanjing 210094,China;Existence of Weak Solutions for the Minimizing Total Variation Flow with Neumann Boundary Conditions[J];Acta Analysis Functionalis Applicata;2009-04
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