@article{SM_1986_53_2_a10,
author = {V. G. Maz'ya and G. I. Kresin},
title = {On the maximum principle for strongly elliptic and parabolic second order systems with constant coefficients},
journal = {Sbornik. Mathematics},
pages = {457--479},
year = {1986},
volume = {53},
number = {2},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1986_53_2_a10/}
}
TY - JOUR AU - V. G. Maz'ya AU - G. I. Kresin TI - On the maximum principle for strongly elliptic and parabolic second order systems with constant coefficients JO - Sbornik. Mathematics PY - 1986 SP - 457 EP - 479 VL - 53 IS - 2 UR - http://geodesic.mathdoc.fr/item/SM_1986_53_2_a10/ LA - en ID - SM_1986_53_2_a10 ER -
V. G. Maz'ya; G. I. Kresin. On the maximum principle for strongly elliptic and parabolic second order systems with constant coefficients. Sbornik. Mathematics, Tome 53 (1986) no. 2, pp. 457-479. http://geodesic.mathdoc.fr/item/SM_1986_53_2_a10/
[1] Miranda C., “Teorema del massimo modulo e teorema di esistenza e di unicitá per il problema di Dirichlet relativo alle equazioni ellitiche in due variabili”, Ann. Mat. Pure Appl., Ser. 4, 46 (1958), 265–311 | DOI | MR | Zbl
[2] Agmon S., “Maximum theorem for solutions of higher order elliptic equations”, Bull. Amer. Math. Soc., 66 (1960), 77–80 | DOI | MR | Zbl
[3] Shultse B. V., “Ob apriornykh otsenkakh v ravnomernykh normakh dlya silno ellipticheskikh sistem”, Sib. matem. zhurn., 16:2 (1975), 384–393
[4] Shapiro Z. Ya., “Pervaya kraevaya zadacha dlya ellipticheskoi sistemy differentsialnykh uravnenii”, Matem. sb., 28(70) (1951), 55–78. | Zbl
[5] Solonnikov V. A., “Ob obschikh kraevykh zadachakh dlya sistem, ellipticheskikh v smysle Duglisa–Nirenberga”, Izv. AN SSSR. Ser. matem., 28:3 (1964), 665–706 | MR
[6] Agmon S., Douglis A., Nirenberg L., “Estimates Near the Boundary for Solutions of Elliptic Partial Differential Equations Satisfying General Boundary Conditions. II”, Comm. Pure Appl. Math., 17:1 (1964), 35–92 | DOI | MR | Zbl
[7] Bitsadze A. V., “Ob ellipticheskikh sistemakh differentsialnykh uravnenii s chastnymi proizvodnymi vtorogo poryadka”, DAN SSSR, 112:6 (1957), 983–986 | MR | Zbl
[8] Polýa G., “Liegt die Stelle der grössten Beanspruchung an der Oberfläche?”, Zeitschr. Angew. Math. Mech., Bd. 10:4 (1930), 353–360 | DOI
[9] Eidelman S. D., Parabolicheskie sistemy, Nauka, M., 1964 | MR | Zbl
[10] Kupradze V. D., Gegelia T. G., Basheleishvili M. O., Burchuladze T. V., Trekhmernye zadachi matematicheskoi teorii uprugosti, Nauka, M., 1976 | MR
[11] Ladyzhenskaya O. A., Matematicheskie voprosy dinamiki vyazkoi neszhimaemoi zhidkosti, Nauka, M., 1970 | MR
[12] Parton V. Z., Perlin P. I., Metody matematicheskoi teorii uprugosti, Nauka, M., 1981 | MR
[13] Miranda C., “Formule di maggiorazione e teorema di esistenza per le funzioni biarmoniche di due variabili”, Giorn. Mat. Battaglini, 78 (1948–1949), 97–118 | MR | Zbl
[14] Eidelman S. D., “O svyazi fundamentalnykh matrits reshenii parabolicheskikh i ellipticheskikh sistem”, Matem. sb., 35(77) (1954), 54–72 | MR