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On the Well-Posedness of Determination of Two Coefficients in a Fractional Integrodifferential Equation

On the Well-Posedness of Determination of Two Coefficients in a Fractional Integrodifferential Equation
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摘要 The authors study an inverse problem for a fractional integrodifferential equation, which aims to determine simultaneously two time varying coefficients, a kernel function and a source function, from the additional integral overdetermination condition. By using the fixed point theorem in suitable Sobolev space, the global existence and uniqueness results of this inverse problem are obtained.
作者 Haibing WANG Bin WU
机构地区 Department of Mathematics College of Mathematics and Physics
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2014年第3期447-468,共22页 数学年刊（B辑英文版）
基金 supported by the National Natural Science Foundation of China(Nos.11201238,11301075) the Jiangsu Provincial Natural Science Foundation of China(No.BK20130594) the Fundamental Research Funds for the Central Universities(No.3207013101)
关键词 Inverse problem Fractional integrodifferential equation EXISTENCE UNIQUENESS 积分方程 分数 适定性 Sobolev空间 测定 不动点定理 时间系数 输出功能
分类号 O175.6 [理学—基础数学]
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参考文献35

  • 1Adams,R A. Sobolev Spaces[M].New York:Academic Press,1975.
  • 2Ahmad,B,Nieto J J. Existence results for nonlinear boundary value problems of fractional integrodifferential equations with integral boundary conditions[J].Boundary Value Problems,2009.708576.
  • 3Cheng,J,Nakagawa,J,Yamamoto,M,Yamazaki,T. Uniqueness in an inverse problem for a onedimensional fractional diffusion equation[J].Inverse Problems,2009.115002.
  • 4Colombo,F. An inverse problem for a parabolic integrodifferential model in the theory of combustion[J].physics D:Applied physics,2007.81-89.
  • 5Colombo,F. An inverse problem for the strongly damped wave equation with memory[J].NONLINEARITY,2007.659-683.
  • 6Colombo,F,Damiano,A. Identification of the memory kernel and the heat source for a phase-field model[J].Houston Joural of Mathematics,2006.895-920.
  • 7Colombo,F,Guidetti,D. A global in time existence and uniqueness result for a semilinear integrodifferential parabolic inverse problem in Sobolev spaces[J].Math Models Methods Appl Sci,2007.537-565.
  • 8Colombo,F,Guidetti,D. Identification of the memory kernel in the strongly damped wave equation by a flux condition[J].COMMUNICATIONS ON PURE AND APPLIED ANALYSIS,2009.601-620.
  • 9Colombo,F,Guidetti,D,Lorenzi,A. Integrodifferential identification problems for thermal materials with memory in non-smooth plane domains[J].Dynam Systems Appl,2003.533-559.
  • 10Colombo,F,Guidetti,D,Vespri,V. Identification of two memory kernels and the time dependence of the heat source for a parabolic conserved phase-field model[J].Mathematical Methods in the Applied Science,2005.2085-2115.
Chinese Annals of Mathematics,Series B
2014年 第3期

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