Fréchet Differentiability of Parameter-Dependent Analytic Semigroups

Journal of Mathematical Analysis and Applications

Volumn 232, Issue 1, 1999, Pages 119-137

  Seubert, S ^a   Wade, J G ^a  

^a BOWLING GREEN STATE UNIVERSITY   (United States)

Author keywords

Abstract elliptic operators; Analytic semigroups; Fr chet differentiability; Gelfand triples; Inverse Laplace transform; Parameterized evolution equations; Resolvent perturbation

Indexed keywords

EID: 0042496130     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1998.6249     Document Type: Article

References (12)

1. Banks H. T. Computational techniques for inverse problems in size structured stochastic population models. Bermúdez A. Control of Partial Differential Equations. Lecture Notes in Control and Information Sciences. 114:1989;3-10 Springer, Berlin.
2. Banks H. T., Crowley J., Rosen G. Methods for the identification of material parameters in distributed models for flexible structures. Mat. Aplicada Comput. 5:1986;139-168.
3. Banks H. T., Kunisch K. Estimation Techniques for Distributed Parameter Systems. 1989;Birkhäuser, Boston.
4. Banks H. T., Ito K. A unified framework for approximation in inverse problems for distributed parameter systems. Control Theory Adv. Tech. 4:1988;73-90.
5. Banks H. T., Wade J. G. Weak Tau approximations for distributed parameter systems in inverse problems. Numer. Funct. Anal. Optim. 12:1991;1-32.
6. Berger M. S. Nonlinearity and Functional Analysis. 1970;Academic Press, New York.
7. Clough R. W., Penzien J. Dynamics of Structures. 1975;McGraw-Hill, New York.
8. Pazy A. Semigroups of Linear Operators and Applications to Partial Differential Equations. 1983;Springer, Berlin.
9. Showalter R. E. Hilbert Space Methods for Partial Differential Equations. 1977;Pitman, London.
10. Tanabe H. Equations of Evolution. 1979;Pitman, London.
11. Wloka J. Partial Differential Equations. 1987;Cambridge, Cambridge.
12. Zeidler W. Nonlinear Functional Analysis and its Applications I: Fixed Point Theorems. 1986;Springer, Berlin.