Global existence results for first-order integrodifferential identification problems
Alfredo Lorenzi; Aleksey Ivanovic Prilepko
Rendiconti del Seminario Matematico della Università di Padova (1996)
- Volume: 96, page 51-84
- ISSN: 0041-8994
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topLorenzi, Alfredo, and Prilepko, Aleksey Ivanovic. "Global existence results for first-order integrodifferential identification problems." Rendiconti del Seminario Matematico della Università di Padova 96 (1996): 51-84. <http://eudml.org/doc/108415>.
@article{Lorenzi1996,
author = {Lorenzi, Alfredo, Prilepko, Aleksey Ivanovic},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {global existence; first-order integrodifferential identification problems; positive solution; uniqueness},
language = {eng},
pages = {51-84},
publisher = {Seminario Matematico of the University of Padua},
title = {Global existence results for first-order integrodifferential identification problems},
url = {http://eudml.org/doc/108415},
volume = {96},
year = {1996},
}
TY - JOUR
AU - Lorenzi, Alfredo
AU - Prilepko, Aleksey Ivanovic
TI - Global existence results for first-order integrodifferential identification problems
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1996
PB - Seminario Matematico of the University of Padua
VL - 96
SP - 51
EP - 84
LA - eng
KW - global existence; first-order integrodifferential identification problems; positive solution; uniqueness
UR - http://eudml.org/doc/108415
ER -
References
top- [1] M. Chicco, 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. Zbl0245.35028
- [2] G. Di Blasio, Linear parabolic equations in Lp-spaces, Ann. Mat. Pura Appl., 138 (1984), pp. 55-104. Zbl0568.35047MR779538
- [3] D.H. Fremlin, Topological Riesz Spaces and Measure Theory, Cambridge University Press (1974). Zbl0273.46035MR454575
- [4] D. Gilbarg - N. S. TRUDINGER, Elliptic Partial Differential Equations of Second Order, 2nd edition, Springer-Verlag, Berlin, Heidelberg, New York (1983). Zbl0361.35003MR737190
- [5] P. Grisvard, Équations différentielles abstraites, Ann. Sci. Éc. Norm. Sup., 2 (1969), pp. 311-395. Zbl0193.43502MR270209
- [6] V.M. Isakov, On a class of inverse problems for parabolic equations, Dokl. Akad. Nauk. SSSR, 25 (1980), pp. 519-521, (in Russian). Zbl0547.35114MR653221
- [7] A.D. Iskenderov, Some inverse problems for determining the right side of differential equations, Izv. Akad. Nauk. Azerb. SSSR, 2 (1976), pp. 35-44 (in Russian). Zbl0345.35084
- [8] V.K. Ivanov - V.V. Vasin - V.P. Tanana, Theory of Ill-Posed Problems and its Applications, Nauka, Moscow (1977) (in Russian). Zbl1037.65056
- [9] O.A. Ladyzhenskaya - V.A. Solonnikov - N.N. Ural'ceva, Linear and Quasilinear Equations of Parabolic Type, Transl. Math. Monograph., vol 23, Amer. Math. Soc., Providence (1968). Zbl0174.15403
- [10] M.M. Lavrent'ev - V.G. Romanov - S.P. Shishatskij, Ill-Posed Problems of Mathematical Physics, Transl. Math. Monograph., vol. 64, Amer. Math. Soc., Providence (1986). Zbl0593.35003
- [11] A. Lorenzi, Identification problems for integrodifferential equations, in Ill-Posed Problems in Natural Sciences, VSP (1992), pp. 342-374. Zbl0785.45008MR1219995
- [12] A. Lorenzi - E. Paparoni, Direct and inverse problems in the theory of materials with memory, Rend. Sem. Mat. Univ. Padova, 87 (1992), pp. 105-138. Zbl0757.73018MR1183905
- [13] A. Lorenzi - A.I. Prilepko, Fredholm-type results for integrodifferential identification parabolic problems, Diff. Int. Eqs., 6 (1993), pp. 535-552. Zbl0820.35140MR1202556
- [14] A. Lorenzi - E. Sinestrari, An inverse problem in the theory of materials with memory, Nonlinear Anal., 12 (1988), pp. 1317-1335. Zbl0673.45010MR972401
- [15] D.G. Orlovskij, The problem of determining a parameter in an evolution equation, Diff. Eqs., 26 (1990), pp. 1614-1621. Zbl0712.34016MR1080438
- [16] A. Pazy, Semigroups of Linear Operators and Applications to Partial Differential Equations, Springer-Verlag (1983). Zbl0516.47023MR710486
- [17] G.N. Polozhiy, Equations of Mathematical Physics, Hayden Book Co., New York (1967).
- [18] A.I. Prilepko, On inverse problems in Potential Theory, Diff. Urav., 3 (1967), pp. 30-44; English translation: Diff. Eqs., 3 (1967), pp. 14-20. Zbl0214.10801MR226047
- [19] A.I. Prilepko, 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. Zbl0928.35197MR1454143
- [20] A.I. Prilepko - A.B. Kostin, On the identification of a coefficient in a parabolic equation I, Sib. Mat. Zh., 33 (1992), pp. 146-155. Zbl0784.35122MR1178466
- [21] A.I. Prilepko - A.B. Kostin, On the identification of a coefficient in a parabolic equation II, Sib. Mat. Zh., 34 (1993), pp. 147-158. Zbl0807.35164MR1255467
- [22] A.I. Prilepko - A.B. Kostin, On certain inverse problems for parabolic equations with final and integral observation, Russian Acad. Sci. Sb. Math., 75 (1993), pp. 473-490. Zbl0802.35158MR1183397
- [23] A.I. Prilepko - A.B. Kostin - I.V. Tikhonov, Inverse problems for evolution equations, in Ill-Posed Problems in Natural Sciences, VSP (1992), pp. 379-389. Zbl0788.35146MR1219998
- [24] A.I. Prilepko - D.G. Orlovskij - I.A. Vasin, Inverse problems in Mathematical Physics, in Ill-Posed Problems in Natural Sciences, VSP (1992), pp. 390-407. Zbl0789.35179MR1219999
- [25] A.I. Prilepko - V.V. Solovyev, Solvability theorems and Rothe's method for inverse problems for an equation of parabolic type, Diff. Eqs., 23 (1987), pp. 1971-1980. Zbl0683.35090MR928246
- [26] A.I. Prilepko - I.V. Tikhonov, 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. Zbl0792.34011MR1165470
- [27] A.I. Prilepko - I.V. Tikhonov, Inverse problems with final determination related to abstract evolution equations in ordered Banach spaces, Funct. Anal. Pri., 27 (1993), pp. 81-83. Zbl0786.34026MR1225918
- [28] A.I. Prilepko - I.V. Tikhonov, Determination of a homogeneous addend in abstract inverse problems, Izv. R.A.N. Mathematical Series, 58 (1994), pp. 167-188. Zbl0826.47028MR1275907
- [29] A.I. Prilepko - I.A. Vasin, Inverse initial boundary value problems for linearized nonstationary Navier-Stokes equations, Diff. Eqs., 25 (1989), pp. 106-117. Zbl0689.35073MR986402
- [30] A.I. Prilepko - I.A. Vasin, Inverse initial boundary value problems for nonlinear Navier-Stokes equations, Diff. Eqs., 25 (1989), pp. 2164-2177. Zbl0850.76119MR1044654
- [31] A. Rundell, Determination of an unknown nonhomogeneous term in a linear partial differential equation from overspecified boundary data, Appl. Anal., 10 (1980), pp. 231-242. Zbl0454.35045MR577334
- [32] V.V. Solovyev, 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] H. Tanabe, Equations of Evolution, Pitman, London (1979). Zbl0417.35003MR533824
- [34] A.N. Tikhonov - V. Ya.ARSENIN, Méthodes de résolution des problèmes mal posés, Mir, Moscow (1973).
- [35] K. Yosida, Functional Analysis, Springer-Verlag, Berlin (1968).
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