Green's matrices of boundary value problems for Petrovskii parabolic systems of general form. I

S. D. Ivasishen

Sbornik. Mathematics, Tome 42 (1982) no. 1, pp. 93-144

Bibliographie

[1] S. D. Ivasishen, “Matritsa Grina neodnorodnoi parabolicheskoi granichnoi zadachi”, DAN SSSR, 187:4 (1969), 730–733 | Zbl

[2] S. D. Ivasishen, “Matritsa Grina obschei neodnorodnoi parabolicheskoi zadachi s granichnymi usloviyami lyubogo poryadka”, DAN SSSR, 206:4 (1972), 796–799 | Zbl

[3] S. D. Ivasishen, “Integralni zobrazhennya rozv'yazkiv zagalnikh parabolichnikh kraiovikh zadach i korektna rozv'yaznist u prostorakh zrostayuchikh funktsii”, DAN URSR, seriya A, 1973, no. 7, 596–599 | Zbl

[4] S. D. Ivasishen, “Matritsa Grina obschikh granichnykh zadach dlya parabolicheskikh po I. G. Petrovskomu sistem”, Trudy Vsesoyuznoi konferentsii po uravneniyam s chastnymi proizvodnymi, posvyaschennoi 75-letiyu so dnya rozhdeniya akademika I. G. Petrovskogo, izd-vo MGU, Moskva, 1978, 315–316

[5] S. D. Ivasishen, “O korrektnoi razreshimosti obschikh parabolicheskikh granichnykh zadach v negativnykh prostranstvakh Gëldera”, DAN USSR, seriya A, 1977, no. 5, 396–400 | Zbl

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[7] S. D. Ivasishen, “Izuchenie matritsy Grina obschei neodnorodnoi parabolicheskoi granichnoi zadachi”, Metody funktsionalnogo analiza v zadachakh matematicheskoi fiziki, In-t matematiki AN USSR, Kiev, 1971, 5–74

[8] S. D. Ivasishen, Matritsy Grina poluprostranstvennykh modelnykh parabolicheskikh granichnykh zadach, Preprint In-ta matematiki AN USSR, 76.15, Kiev, 1976 | MR

[9] S. D. Ivasishen, Matritsy Grina obschikh neodnorodnykh granichnykh zadach dlya parabolicheskikh po I. G. Petrovskomu sistem, Preprint In-ta matematiki AN USSR, 78.2, Kiev

[10] Yu. P. Krasovskii, “Vydelenie osobennosti u funktsii Grina”, Izv. AN SSSR, seriya matem., 31 (1967), 977–1010 | MR | Zbl

[11] S. D. Ivasishen, “Sopryazhennye operatory Grina. Obobschennye resheniya parabolicheskikh zadach s normalnymi granichnymi usloviyami”, DAN SSSR, 197:2 (1971), 261–264 | Zbl

[12] S. D. Ivasishen, V. P. Lavrenchuk, “O korrektnoi razreshimosti obschikh granichnykh zadach dlya parabolicheskikh sistem s rastuschimi koeffitsientami”, Ukr. matem. zh., 30:1 (1978), 100–106 | MR | Zbl

[13] S. D. Ivasishen, “O korrektnoi razreshimosti nekotorykh parabolicheskikh granichnykh zadach bez nachalnykh uslovii”, Diff. uravneniya, 14:2 (1978), 361–363 | MR | Zbl

[14] S. D. Ivasishen, “O teoremakh Liuvillya dlya reshenii parabolicheskikh granichnykh zadach”, DAN USSR, seriya A, 1978, no. 12, 1071–1075 | MR | Zbl

[15] S. D. Ivasishen, “O matritsakh Grina obschikh ellipticheskikh granichnykh zadach, porozhdennykh parabolicheskimi”, Ukr. matem. zh., 29:4 (1977), 519–526 | MR | Zbl

[16] V. P. Mikhailov, “O smeshannoi zadache dlya parabolicheskoi sistemy na ploskosti”, DAN SSSR, 126:6 (1959), 1199–1203

[17] R. Arima, “On general boundary value problem for parabolic equations”, J. Math. Kyoto Univ., 4:1 (1964), 207–244 | MR

[18] S. D. Ivasishen, S. D. Eidelman, “Otsenki matritsy Grina odnorodnoi parabolicheskoi granichnoi zadachi”, DAN SSSR, 172:6 (1967), 1262–1265 | Zbl

[19] V. A. Solonnikov, “O matritsakh Grina dlya parabolicheskikh kraevykh zadach”, Zapiski nauchnykh seminarov LOMI, 14 (1969), 256–287 | MR | Zbl

[20] S. D. Eidelman, S. D. Ivasishen, “Issledovanie matritsy Grina odnorodnoi parabolicheskoi granichnoi zadachi”, Trudy Mosk. matem. o-va, 23 (1970), 179–234 | MR

[21] I. I. Verenich, S. D. Ivasishen, “Matritsya Grina zagalnikh odnoridnikh parabolichnikh kraiovikh zadach u netsilindrichnikh oblastyakh”, DAN URSR, cepiya A, 1970, no. 12, 1063–1066 | Zbl

[22] S. D. Ivasishen, “Ob issledovanii matritsy Grina parabolicheskikh granichnykh zadach s odnorodnymi granichnymi usloviyami proizvolnogo poryadka metodom regulyarizatora”, Matem. sb. AN USSR, izd-vo “Naukova dumka”, Kiev, 1976, 202–207 | MR

[23] S. D. Eidelman, 3. F. Sirchenko, “O primenenii printsipa usredneniya dlya resheniya nekotorykh parabolicheskikh granichnykh zadach”, Ukr. matem. zh., 25:5 (1973), 621–631 | MR

[24] M. I. Matiichuk, S. D. Eidelman, “Primenenie metoda Khopfa k resheniyu odnorodnykh parabolicheskikh granichnykh zadach”, Matematicheskaya fizika, vyp. 15, izd-vo “Naukova dumka”, Kiev, 1974, 171–176

[25] M. A. Shubin, “Plotnost sostoyanii samosopryazhennykh ellipticheskikh operatorov s pochti periodicheskimi koeffitsientami”, Trudy seminara im. I. G. Petrovskogo, vyp. 3, izd-vo MGU, Moskva, 1977, 243–275

[26] I. Gusev, “Plotnost sostoyanii i drugie spektralnye invarianty samosopryazhennykh ellipticheskikh operatorov so sluchainymi koeffitsientami”, Matem. sb., 104(146) (1977), 207–226 | MR | Zbl

[27] V. A. Solonnikov, “O kraevykh zadachakh dlya lineinykh parabolicheskikh sistem differentsialnykh uravnenii obschego vida”, Trudy Matem. in-ta im. V. A. Steklova, LXXXIII, 1965, 3–163 | MR

[28] S. D. Eidelman, Parabolicheskie sistemy, izd-vo “Nauka”, Moskva, 1964 | MR

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[30] S. D. Eidelman, S. D. Ivasishen, “Otsinki pokhidnikh matritsi Grina parabolichnoï kraiovoï zadachi v pivppoctopi”, DAN URSR, 1966, no. 7, 846–850 | MR

[31] O. A. Ladyzhenskaya, V. A. Solonnikov, N. N. Uraltseva, Lineinye i kvazilineinye uravneniya parabolicheskogo tipa, izd-vo “Nauka”, Moskva, 1967

[32] S. D. Ivasishen, S. D. Eidelman, “$\vec{2b}$-parabolicheskie sistemy”, Trudy seminara po funkts. analizu, vyp. 1, In-t matematiki AN USSR, Kiev, 1968, 3–175