Geodesic
Passage to the limit in quasilinear integro-differential equations with weakly convergent coefficients
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 40 (2000) no. 3, pp. 428-439 Cet article a éte moissonné depuis la source Math-Net.Ru

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V. L. Kamynin. Passage to the limit in quasilinear integro-differential equations with weakly convergent coefficients. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 40 (2000) no. 3, pp. 428-439. http://geodesic.mathdoc.fr/item/ZVMMF_2000_40_3_a8/

[1] Habetler G. T., Schiffman R. L., “A finite difference method for analyzing the compression of poro-viscoelastic media”, Computing, 6 (1970), 342–348 | DOI | MR | Zbl

[2] Pachpatte B. G., “On a nonlinear diffusion system arising in reactor dynamics”, J. Math. Analys. Appl., 94 (1983), 501–508 | DOI | MR | Zbl

[3] Yin H. M., “The classical solutions for ninlinear parabolic integrodifferential equations”, J. Integr. Equat. Appl., 1:2 (1988), 249–263 | DOI | MR | Zbl

[4] Cannon J. R., Lin Y., “A remark on the solvability for nonlinear parabolic integro-differential equations in one-dimensional spaces”, Boll. Unione Matem. Ital. B (7), 5:4 (1991), 853–874 | MR | Zbl

[5] Senatorov P. K., “Koeffitsientnaya ustoichivost reshenii obyknovennykh differentsialnykh uravnenii vtorogo poryadka i parabolicheskikh uravnenii na ploskosti”, Differents. ur-niya, 7:4 (1971), 754–758 | MR | Zbl

[6] Markov V. G., Oleinik O. A., “O rasprostranenii tepla v odnomernykh dispersnykh sredakh”, Prikl. matem. i mekhan., 39:6 (1975), 1073–1081 | MR | Zbl

[7] Zhikov V. V., Kozlov S. M., Oleinik O. A., Usrednenie differentsialnykh operatorov, Nauka, M., 1993 | MR | Zbl

[8] Kruzhkov S. N., Kamynin V. L., “Skhodimost reshenii kvazilineinykh parabolicheskikh uravnenii so slabo skhodyaschimisya koeffitsientami”, Dokl. AN SSSR, 270:3 (1983), 533–536 | MR | Zbl

[9] Kruzhkov S. N., Kamynin V. L., “O predelnom perekhode v kvazilineinykh parabolicheskikh uravneniyakh”, Tr. MIAN SSSR, 167, M., 1985, 183–206 | MR | Zbl

[10] Kamynin V. L., “O predelnym perekhode v kvazilineinykh ellipticheskikh uravneniyakh so mnogimi nezavisimymi peremennymi”, Matem. sb., 174:1 (1987), 45–63 | MR

[11] Kamynin V. L., “Predelnyi perekhod v kvazilineinykh parabolicheskikh uravneniyakh so slabo skhodyaschimisya koeffitsientami i asimptoticheskoe povedenie reshenii zadachi Koshi”, Matem. sb., 181:8 (1990), 1031–1047 | MR | Zbl

[12] Kamynin V. L., “Predelnyi perekhod v obratnoi zadache dlya nedivergentnykh parabolicheskikh uravnenii s usloviem finalnogo pereopredeleniya”, Differents. ur-niya, 28:2 (1992), 247–253 | MR | Zbl

[13] Kamynin V. L., “On convergence of the solutions of inverse problems for parabolic equations with weakly converging coefficients”, Elliptic and Parabolic Problems (Pont-á-Mousson, 1994), Pitman Res. Notes in Math. Ser., 325, Longman Group Ltd., London, 1995, 130–151 | MR | Zbl

[14] Kamynin V. L., Vasin I. A., “Inverse problems for linearized Navier–Stokes equations with integral overdetermination. Unique solvability and passage to the limit”, Ann. Univ. Ferrara. Ser. VII – Sc. Mat., 38 (1992), 229–247 | MR | Zbl

[15] Kruzhkov S. M., “Kvazilineinye parabolicheskie uravneniya i sistemy s dvumya nezavisimymi peremennymi”, Tr. sem. im. I. G. Petrovskogo, 5, M., 1979, 217–272 | MR | Zbl

[16] Fridman A., Uravneniya s chastnymi proizvodnymi parabolicheskogo tipa, Mir, M., 1968

[17] Besov O. V., Ilin V. P., Nikolskii S. M., Integralnye predstavleniya funktsii i teoremy vlozheniya, Nauka, M., 1975 | MR | Zbl