Identification problems for partial differential equations

1 Agmon, S. On the eigenfunctions and on the eigenvalues of general elliptic boundary value problems Comm. Pure Appl. Math. 15 1962 119-147 MR0147774 100 Cache/Ag/Agmon,eigenfunctions,Comm*,1962,1963

2 Agmon, S. Lectures on Elliptic Boundary Value Problems Van Nostrand, New York 1965 MR0178246 100 Cache/Ag/Agmon,Lectures,*,1965,1966 v+291

3 Calderón, A. P. Uniqueness in the Cauchy problem for partial differential equations Amer. J. Math. 80 1958 16-36 MR0104925 100 Cache/Ca/Calder\'on,Uniqueness,Amer*,1958,1959

4 Courant, R.; Hilbert, D. Methods of Mathematical Physics, Volume I first English edition, Interscience, New York 1953 xv+561 MR0065391 83 Cache/Co/Courant,Mathematical,*,1953,1954

5 Courdesses, M.; Polis, M. P.; Amouroux, M. On identifiability of parameters in a class of parabolic distributed systems IEEE Trans. Automat. Control AC-26 1981 474-477 MR0613557 100 Cache/Co/Courdesses,identifiability,IEEE*,1981,1982

6 Fattorini, H. O. On complete controllability of linear systems J. Differential Equations 3 1967 391-402 MR0212322 100 Cache/Fa/Fattorini,controllability,J*,1967,1968

7 Goodson, R. E.; Klein, R. E. A definition and some results for distributed system observability IEEE Trans. Automat. Control AC-15 1970 165-174 MR0274082 100 Cache/Go/Goodson,observability,IEEE*,1970,1971

8 Ince, E. L. Ordinary Differential Equations Dover, New York 1956 MR0010757 Cache/In/Ince,Ordinary,*,1956,1957

9 Itô, S. Fundamental solutions of parabolic differential equations and boundary value problems Japan J. Math. 27 1957 55-102 MR0098240 Cache/It/It\^o,Fundamental,Japan*,1957,1958

10 Kato, T. Fundamental properties of Hamiltonian operators of Schrödinger type Trans. Amer. Math. Soc. 70 1951 195-211 MR0041010 100 Cache/Ka/Kato,Fundamental,Trans*,1951,1952

11 Kato, T. Perturbation Theory for Linear Operators Springer, Berlin- Heidelberg-New York 1976 xxi+619 MR0407617 100 Cache/Ka/Kato,Perturbation,*,1976,1977

12 Kitamura, S.; Nakagiri, S. Identifiability of spatially varying and constant parameters in distributed systems of parabolic type SIAM J. Control Optim. 15 1977 785-802 MR0459856 91 Cache/Ki/Kitamura,Identifiability,SIAM*,1977,1978

13 Levitan, B. M.; Sargsjan, I. S. Introduction to Spectral Theory Transl. Math. Monographs Vol. 39, Amer. Math. Soc., Providence, R.I. 1975 MR0369797 xi+525

14 Mizohata, S. Unicité du prolongement des solutions pour quelques opérateurs différentiels paraboliques Mem. Coll. Sci. Univ. Kyoto 31 1958 219-239 MR0106347 100 Cache/Mi/Mizohata,prolongement,Mem*,1958,1959

15 Mizohata, S. The Theory of Partial Differential Equations Cambridge Univ. Press, London 1973 MR0599580 100 Cache/Mi/Mizohata,Partial,*,1973,1974 xii+490

16 Murayama, R. The Gel'fand-Levitan theory and certain inverse problems for the parabolic equation J. Fac. Sci. Univ. Tokyo 28 1981 317-330 MR0633001 Cache/Mu/Murayama,Gel'fand-Levitan,J*,1981,1982

17 Nakagiri, S. Identifiability of linear systems in Hilbert spaces SIAM J. Control Optim. 21 1983 501-530 MR0704472 100 Cache/Na/Nakagiri,Identifiability,SIAM*,1983,1984

18 Nakagiri, S.; Yamamoto, M. Identifiability of linear retarded systems in Banach spaces Funkcial. Ekvac. 31 1988 315-329 MR0961755 0961755 100 Cache/Na/Nakagiri,Identifiability,Funkcial*,1988,1989 19 Nakagiri, S.; Yamamoto, M., Identifiability observability, controllability and pole assignability for evolution equations: a unified approach, submitted 20 Nakagiri, S.; Yamamoto, M., Identification problems for evolution equations in Banach spaces, in preparation

21 Polis, M. P.; Goodson, R. E. Parameter identification in distributed systems: a synthesizing overview Proc. IEEE 64 1976 45-61 MR0408888 100 Cache/Po/Polis,identification,Proc*,1976,1977

22 Sakawa, Y. Controllability for partial differential equations of parabolic type SIAM J. Control Optim. 12 1974 389-400 MR0350593 100 Cache/Sa/Sakawa,Controllability,SIAM*,1974,1975

23 Seinfeld, J. H.; Chen, W. H. Estimation of parameters in distributed systems Identification of Parameters in Distributed Systems, American Society of Mechanical Engineers, New York 1974 69-89 MR0395963 Cache/Se/Seinfeld,distributed,*,1974,1975

24 Suzuki, T. Uniqueness and nonuniqueness in an inverse problem for the parabolic equation J. Differential Equations 47 1983 296-316 MR0688107 100 Cache/Su/Suzuki,nonuniqueness,J*,1983,1984

25 Suzuki, T.; Murayama, R. A uniqueness theorem in an identification problem for coefficients of parabolic equations Proc. Japan Acad. 56 1980 259-263 MR0581467 100 Cache/Su/Suzuki,identification,Proc*,1980,1981

26 Tanabe, H. Equations of Evolution Pitman, London 1979 MR0533824 100 Cache/Ta/Tanabe,*,*,1979,1980 xii+260 27 Yosida, K. Functional Analysis Springer, Berlin-Göttingen-Heidelberg 1964 MR0180824 100 Cache/Yo/Yosida,Functional,*,1964,1965 xi+458