@article{RSMUP_1996__96__51_0, author = {Lorenzi, Alfredo and Prilepko, Aleksey Ivanovic}, title = {Global existence results for first-order integrodifferential identification problems}, journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova}, volume = {96}, year = {1996}, pages = {51-84}, mrnumber = {1438288}, zbl = {0879.45006}, language = {en}, url = {http://dml.mathdoc.fr/item/RSMUP_1996__96__51_0} }
Lorenzi, Alfredo; Prilepko, Aleksey Ivanovic. Global existence results for first-order integrodifferential identification problems. Rendiconti del Seminario Matematico della Università di Padova, Tome 96 (1996) pp. 51-84. http://gdmltest.u-ga.fr/item/RSMUP_1996__96__51_0/
[1] Third boundary value problem in H2,p (Ω) for a class of linear second order elliptic partial differential equations, Rend. Ist. Mat. Univ. Trieste, 1 (1972), pp. 85-94. | Zbl 0245.35028
,[2] Linear parabolic equations in Lp-spaces, Ann. Mat. Pura Appl., 138 (1984), pp. 55-104. | MR 779538 | Zbl 0568.35047
,[3] Topological Riesz Spaces and Measure Theory, Cambridge University Press (1974). | MR 454575 | Zbl 0273.46035
,[4] N. S. TRUDINGER, Elliptic Partial Differential Equations of Second Order, 2nd edition, Springer-Verlag, Berlin, Heidelberg, New York (1983). | MR 737190 | Zbl 0361.35003
-[5] Équations différentielles abstraites, Ann. Sci. Éc. Norm. Sup., 2 (1969), pp. 311-395. | Numdam | MR 270209 | Zbl 0193.43502
,[6] On a class of inverse problems for parabolic equations, Dokl. Akad. Nauk. SSSR, 25 (1980), pp. 519-521, (in Russian). | MR 653221 | Zbl 0547.35114
,[7] Some inverse problems for determining the right side of differential equations, Izv. Akad. Nauk. Azerb. SSSR, 2 (1976), pp. 35-44 (in Russian). | Zbl 0345.35084
,[8] Theory of Ill-Posed Problems and its Applications, Nauka, Moscow (1977) (in Russian). | Zbl 1037.65056
- - ,[9] Linear and Quasilinear Equations of Parabolic Type, Transl. Math. Monograph., vol 23, Amer. Math. Soc., Providence (1968). | Zbl 0174.15403
- - ,[10] Ill-Posed Problems of Mathematical Physics, Transl. Math. Monograph., vol. 64, Amer. Math. Soc., Providence (1986). | Zbl 0593.35003
- - ,[11] Identification problems for integrodifferential equations, in Ill-Posed Problems in Natural Sciences, VSP (1992), pp. 342-374. | MR 1219995 | Zbl 0785.45008
,[12] Direct and inverse problems in the theory of materials with memory, Rend. Sem. Mat. Univ. Padova, 87 (1992), pp. 105-138. | Numdam | MR 1183905 | Zbl 0757.73018
- ,[13] Fredholm-type results for integrodifferential identification parabolic problems, Diff. Int. Eqs., 6 (1993), pp. 535-552. | MR 1202556 | Zbl 0820.35140
- ,[14] An inverse problem in the theory of materials with memory, Nonlinear Anal., 12 (1988), pp. 1317-1335. | MR 972401 | Zbl 0673.45010
- ,[15] The problem of determining a parameter in an evolution equation, Diff. Eqs., 26 (1990), pp. 1614-1621. | MR 1080438 | Zbl 0712.34016
,[16] Semigroups of Linear Operators and Applications to Partial Differential Equations, Springer-Verlag (1983). | MR 710486 | Zbl 0516.47023
,[17] Equations of Mathematical Physics, Hayden Book Co., New York (1967).
,[18] On inverse problems in Potential Theory, Diff. Urav., 3 (1967), pp. 30-44; English translation: Diff. Eqs., 3 (1967), pp. 14-20. | MR 226047 | Zbl 0214.10801
,[19] Selected questions related to inverse problems of Mathematical Physics, in Conditionally Well-Posed Problems of Mathematical Physics and Analysis (in Russian), Nauka, Novosibirsk (1992), pp. 151-162. | MR 1454143 | Zbl 0928.35197
,[20] On the identification of a coefficient in a parabolic equation I, Sib. Mat. Zh., 33 (1992), pp. 146-155. | MR 1178466 | Zbl 0784.35122
- ,[21] On the identification of a coefficient in a parabolic equation II, Sib. Mat. Zh., 34 (1993), pp. 147-158. | MR 1255467 | Zbl 0807.35164
- ,[22] On certain inverse problems for parabolic equations with final and integral observation, Russian Acad. Sci. Sb. Math., 75 (1993), pp. 473-490. | MR 1183397 | Zbl 0802.35158
- ,[23] Inverse problems for evolution equations, in Ill-Posed Problems in Natural Sciences, VSP (1992), pp. 379-389. | MR 1219998 | Zbl 0788.35146
- - ,[24] Inverse problems in Mathematical Physics, in Ill-Posed Problems in Natural Sciences, VSP (1992), pp. 390-407. | MR 1219999 | Zbl 0789.35179
- - ,[25] Solvability theorems and Rothe's method for inverse problems for an equation of parabolic type, Diff. Eqs., 23 (1987), pp. 1971-1980. | MR 928246 | Zbl 0683.35090
- ,[26] Uniqueness of the solution to an inverse problem related to an evolution equation and applications to the transfer equation, Mat. Zam., 51 (1992), pp. 77-88. | MR 1165470 | Zbl 0792.34011
- ,[27] Inverse problems with final determination related to abstract evolution equations in ordered Banach spaces, Funct. Anal. Pri., 27 (1993), pp. 81-83. | MR 1225918 | Zbl 0786.34026
- ,[28] Determination of a homogeneous addend in abstract inverse problems, Izv. R.A.N. Mathematical Series, 58 (1994), pp. 167-188. | MR 1275907 | Zbl 0826.47028
- ,[29] Inverse initial boundary value problems for linearized nonstationary Navier-Stokes equations, Diff. Eqs., 25 (1989), pp. 106-117. | MR 986402 | Zbl 0689.35073
- ,[30] Inverse initial boundary value problems for nonlinear Navier-Stokes equations, Diff. Eqs., 25 (1989), pp. 2164-2177. | MR 1044654 | Zbl 0850.76119
- ,[31] Determination of an unknown nonhomogeneous term in a linear partial differential equation from overspecified boundary data, Appl. Anal., 10 (1980), pp. 231-242. | MR 577334 | Zbl 0454.35045
,[32] Fredholmness in an inverse problem related to the determination of the free member in a parabolic equation in Analysis of Mathematical Models of Physical Processes, Energoatomizdat Moscow (1988), pp. 90-95.
,[33] Equations of Evolution, Pitman, London (1979). | MR 533824 | Zbl 0417.35003
,[34] ARSENIN, Méthodes de résolution des problèmes mal posés, Mir, Moscow (1973).
-[35] Functional Analysis, Springer-Verlag, Berlin (1968).
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