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IDENTIFICATION OF PARAMETERS IN SEMILINEAR PARABOLIC EQUATIONS 被引量:9

IDENTIFICATION OF PARAMETERS IN SEMILINEAR PARABOLTC EQUATIONS
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摘要 An optimization theoretic approach of coefficients in semilinear parabolic equation is presented. It is based on convex analysis techniques. General theorems on existence are proved in L1 setting. A necessary condition is given for the solutions of the parameter estimatioll problem. An optimization theoretic approach of coefficients in semilinear parabolic equation is presented. It is based on convex analysis techniques. General theorems on existence are proved in L1 setting. A necessary condition is given for the solutions of the parameter estimatioll problem.
作者 刘振海
出处 《Acta Mathematica Scientia》 SCIE CSCD 1999年第2期175-180,共6页 数学物理学报(B辑英文版)
基金 the post-doctoral funds of China and funds of State Educational Commission of China for returned scholars from abroad
关键词 IDENTIFICATION COEFFICIENTS semilinear parabolic equations. Identification, coefficients, semilinear parabolic equations.
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同被引文献22

  • 1LIU Zhenhai ZOU Jiezhong.Strong convergence results for hemivariational inequalities[J].Science China Mathematics,2006,49(7):893-901. 被引量:2
  • 2LIU ZhenHai,LI Jing,LI ZhaoWen.Regularization method with two parameters for nonlinear ill-posed problems[J].Science China Mathematics,2008,51(1):70-78. 被引量:4
  • 3刘振海.ON THE IDENTIFICATION OF COEFFICIENTS OF SEMILINEAR PARABOLIC EQUATIONS[J].Acta Mathematicae Applicatae Sinica,1994,10(4):356-367. 被引量:7
  • 4Mao Fa WANG,Pei De LIU.Compactness of Product Operators on the Bergman Space[J].Acta Mathematica Sinica,English Series,2005,21(4):723-732. 被引量:2
  • 5Zhenhai Liu.Some Convergence Results for Evolution Hemivariational Inequalities[J].Journal of Global Optimization.2004(1)
  • 6Fengshan Liu,M. Zuhair Nashed.Regularization of Nonlinear Ill-Posed Variational Inequalities and Convergence Rates[J].Set - Valued Analysis.1998(4)
  • 7Alber YA I.Metric and generalized projection operators in Banach spaces:properties and applications[].Theory and applications of nonlinear operators of accretive and monotone type.1996
  • 8Alber YA I,Notik A I.On the iterative method for variational inequalities with nonsmooth unbounded operators in Banach space[].Journal of Mathematical.1994
  • 9Alber YA I,Notik A I.Geometric characteristics of Banach spaces and approximate methods for solving nonlinear operator equations[].Doklady Akademii Nauk Rossiiskaia Akademii Nauk.1984
  • 10Alber YA I,Butnariu D,Ryazantseva I.Regularization methods for ill-posed inclusions and variational inequalities with domain perturbations[].Journal of Nonlinear and Convex Analysis.2001

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