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抛物型方程非线性源项的一个反问题 被引量:2

An Inverse Problem of the Nonlinear Source Term for Parabolic Equation
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摘要 应用Sobolev 紧嵌入定理和积分估计技巧。 Applying Sobolev com pactem bedding theorem s and som e skillofintegralestim ates, w e prove the localexistence ofthe nonlinearsource term in H氹lder space by constructing itera- tive sequence.
出处 《应用数学》 CSCD 1999年第4期111-116,共6页 Mathematica Applicata
关键词 抛物型方程 反问题 紧嵌入 存在性 非线性源项 Parabolic equation Inverse problem Com pact em bedding H氹lder space Existence
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参考文献4

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同被引文献15

  • 1陈志芳,肖庭延.Sturm-Liouville算子参数识别的离散正则化方法[J].高等学校计算数学学报,2005,27(S1):324-328. 被引量:3
  • 2LI G S. Data compatibility and conditional stability for an inverse source problem in the heat equation [J].Applied Mathematics and Computation, 2006,173 (1) : 566-581.
  • 3YI Z, MURIO D A. Source term identification in 1-D IHCP [J]. Computers and Mathematics with Applications, 2004,47: 1921-1933.
  • 4FARCAS A, LESNIC D. The boundary-element method for the detemaination of a heat source dependent on one variable [J].Journal of Engineering Mathematics, 2006,54: 375-388.
  • 5JOHANSSON T, LESNIC D. Determination of a spaeewise dependent heat source [J]. Journal of Computational and Applied Mathematics, 2007,209 : 66-80.
  • 6YAN L, FU C L, YANG F L. The method of fundamental solutions for the inverse heat source problem [J]. Engineering Analysis with Boundary Elements, 2008,32 : 216-222.
  • 7CANNON J R, DUCHATEAU P. Struetural identification of an unknown souree term in a heat equation [J].Inverse Problems, 1998,14 : 535-551.
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  • 9CARRASSO A. Determining surface temperature from interior observations [J]. SIAM J Appl Math, 1982,42 : 558-574.
  • 10FU C L. Simplified tikhonov and fourier regularization methods on a general sideways parabolic equation [J]. Journal of Computational and Applied Mathematics,2004,167:449-463.

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