Regularity properties in parameter estimation of diffusion coefficients in one dimensional elliptic boundary value problems

References

• Adams , R. A. 1975 . Sobolev Spaces , New York : Academic Press .
   Google Scholar
• Banks , H. T. , Daniel , P. L. and Armstrong , E. S. 1983 . Spline-based esti- mation techniques for parameters in elliptic distributed systems , VA : Blacksburg .
   Google Scholar
• Banks , H. T. , Daniel , P. L. and Armstrong , E. S. A Spline-based parameter and state estimation technique for static models of elastic surfaces , Preprint .
   Google Scholar
• Chavent , G. 1971 . Analyse fonctionelle et identification de coeffi- cients repartis dans les equations aux derivees partielles , Paris : doctorat detat .
   Google Scholar
• Kravaris , C. and Seinfeld , J. H. 1985 . Identification of parameters in distributed parameter systems by regularization . SIAM J. Control and Opt , 23 : 217 – 241 .
   Web of Science ®Google Scholar
• Kunisch , K. and White , L.W. Parameter estimation for elliptic systems in multi-dimensional domains withpoint and flux observations , to appear in Nonlinear Analysis TMA .
   Google Scholar
• Kunisch , K. and White , L.W. Parameter estimation, regularity and the penalty method for a class of elliptic problems , to appear in SIAM J. on Control and Optimization .
   Google Scholar
• Schumaker , L. L. 1981 . Spline Functions: Basic Theory , New York : John Wiley & Sons .
   Google Scholar
• Zowe , J. and Kurcyusz , S. 1979 . Regularity and stability for the mathematical programming problems in Banach spaces . Appl. Math, and Optimization , 5 : 49 – 61 .
   Web of Science ®Google Scholar