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Some inverse problems of identification for integrodifferential parabolic systems with a boundary memory term
1. | Dipartimento di Matematica, Università di Bologna, Piazza di Porta S. Donato 5, 40126 Bologna |
References:
[1] |
C. Cavaterra and F. Colombo, Identifying a heat source in automatic control problems, Comm. Appl. Nonlinear Anal., 11 (2014), 1-23. |
[2] |
C. Cavaterra and D. Guidetti, Identification of a convolution kernel in a control problem for the heat equation with a boundary memory term, Ann. Mat. Pura Appl., 193 (2014), 779-816.
doi: 10.1007/s10231-012-0301-y. |
[3] |
C. Cavaterra and D. Guidetti, Identification of a source factor in a control problem for the heat equation with a boundary memory term,, submitted., ().
|
[4] |
P. Colli, M. Grasselli and J. Sprekels, Automatic control via thermostats of a hyperbolic Stefan problem with memory, Appl. Math. Optim., 39 (1999), 229-255.
doi: 10.1007/s002459900105. |
[5] |
L. De Simon, Un'applicazione della teoria degli integrali singolari allo studio delle equazioni differenziali lineari astratte del primo ordine, Rend. Sem. Mat. Univ. Padova, 34 (1964), 205-223. |
[6] |
D. Guidetti, Some remarks on operators preserving oscillations,, to appear in Rend. Sem. Mat.Univ. Pol. Torino., ().
|
[7] |
M. Krasnosel'skii and A. Pokrovskii, Systems with Hysteresis, Springer-Verlag, Berlin, 1989.
doi: 10.1007/978-3-642-61302-9. |
[8] |
O. A. Ladyzhenskaja, V. A. Solonnikov and N. N. Ural'ceva, Linear and Quasilinear Equations of Parabolic Type, Transl. Math. Monographs, AMS, 1968. |
[9] |
J. L. Lions and E. Magenes, Problémes Aux Limites Non Homogénes et Applications, Vol. II, Springer-Verlag, 1972. |
[10] |
A. I. Prilepko, D. G. Orlovsky and I. A. Vasin, Methods for Solving Inverse Problems in Mathematical Physics, Monographs and Textbooks in Pure and Applied Mathematics, 231, Marcel Dekker, Inc., New York, 2000. |
[11] |
H. Triebel, Theory of Function Spaces, Birkhäuser, 1983.
doi: 10.1007/978-3-0346-0416-1. |
[12] |
A. Visintin, Differential Models in Hysteresis, Applied Mathematical Sciences, 111, Springer-Verlag, Berlin, 1994.
doi: 10.1007/978-3-662-11557-2. |
show all references
References:
[1] |
C. Cavaterra and F. Colombo, Identifying a heat source in automatic control problems, Comm. Appl. Nonlinear Anal., 11 (2014), 1-23. |
[2] |
C. Cavaterra and D. Guidetti, Identification of a convolution kernel in a control problem for the heat equation with a boundary memory term, Ann. Mat. Pura Appl., 193 (2014), 779-816.
doi: 10.1007/s10231-012-0301-y. |
[3] |
C. Cavaterra and D. Guidetti, Identification of a source factor in a control problem for the heat equation with a boundary memory term,, submitted., ().
|
[4] |
P. Colli, M. Grasselli and J. Sprekels, Automatic control via thermostats of a hyperbolic Stefan problem with memory, Appl. Math. Optim., 39 (1999), 229-255.
doi: 10.1007/s002459900105. |
[5] |
L. De Simon, Un'applicazione della teoria degli integrali singolari allo studio delle equazioni differenziali lineari astratte del primo ordine, Rend. Sem. Mat. Univ. Padova, 34 (1964), 205-223. |
[6] |
D. Guidetti, Some remarks on operators preserving oscillations,, to appear in Rend. Sem. Mat.Univ. Pol. Torino., ().
|
[7] |
M. Krasnosel'skii and A. Pokrovskii, Systems with Hysteresis, Springer-Verlag, Berlin, 1989.
doi: 10.1007/978-3-642-61302-9. |
[8] |
O. A. Ladyzhenskaja, V. A. Solonnikov and N. N. Ural'ceva, Linear and Quasilinear Equations of Parabolic Type, Transl. Math. Monographs, AMS, 1968. |
[9] |
J. L. Lions and E. Magenes, Problémes Aux Limites Non Homogénes et Applications, Vol. II, Springer-Verlag, 1972. |
[10] |
A. I. Prilepko, D. G. Orlovsky and I. A. Vasin, Methods for Solving Inverse Problems in Mathematical Physics, Monographs and Textbooks in Pure and Applied Mathematics, 231, Marcel Dekker, Inc., New York, 2000. |
[11] |
H. Triebel, Theory of Function Spaces, Birkhäuser, 1983.
doi: 10.1007/978-3-0346-0416-1. |
[12] |
A. Visintin, Differential Models in Hysteresis, Applied Mathematical Sciences, 111, Springer-Verlag, Berlin, 1994.
doi: 10.1007/978-3-662-11557-2. |
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