@article{TVP_2011_56_2_a5,
author = {S. V. Shaposhnikov},
title = {Regular and qualitative properties of solutions for parabolic equations for measures},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {318--350},
year = {2011},
volume = {56},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_2011_56_2_a5/}
}
S. V. Shaposhnikov. Regular and qualitative properties of solutions for parabolic equations for measures. Teoriâ veroâtnostej i ee primeneniâ, Tome 56 (2011) no. 2, pp. 318-350. http://geodesic.mathdoc.fr/item/TVP_2011_56_2_a5/
[1] Bogachev V. I., Krylov N. V., Röckner M., “On regularity of transition probabilities and invariant measures of singular diffusions under minimal conditions”, Comm. Partial Differential Equations, 26:11–12 (2001), 2037–2080 | DOI | MR | Zbl
[2] Bogachev V. I., Krylov N. V., Rëkner M., “Ellipticheskie i parabolicheskie uravneniya dlya mer”, Uspekhi matem. nauk, 64:6 (2009), 5–116 | MR
[3] Bogachev V. I., Da Prato G., Röckner M., “Existence of solutions to weak parabolic equations for measures”, Proc. Lond. Math. Soc., 88:3 (2004), 753–774 | DOI | MR | Zbl
[4] Bogachev V. I., Da Prato G., Röckner M., Stannat W., “Uniqueness of solutions to weak parabolic equations for measures”, Bull. Lond. Math. Soc., 39:4 (2007), 631–640 | DOI | MR | Zbl
[5] Bogachev V. I., Rëkner M., Shaposhnikov S. V., “Globalnaya regulyarnost i otsenki reshenii parabolicheskikh uravnenii”, Teoriya veroyatn. i ee primen., 50:4 (2005), 652–674
[6] Bogachev V. I., Rëkner M., Shaposhnikov S. V., “Otsenki plotnostei statsionarnykh raspredelenii i perekhodnykh veroyatnostei diffuzionnykh protsessov”, Teoriya veroyatn. i ee primen., 52:2 (2007), 240–270
[7] Metafune G., Pallara D., Rhandi A., “Global properties of transition probabilities of singular diffusions”, Teoriya veroyatn. i ee primen., 54:1 (2009), 116–148 | MR
[8] Spina C., “Kernel estimates for a class of Kolmogorov semigroups”, Arch. Math., 91:3 (2008), 265–279 | DOI | MR | Zbl
[9] Fridman A., Uravneniya s chastnymi proizvodnymi parabolicheskogo tipa, Mir, M., 1968, 427 pp.
[10] Ladyzhenskaya O. A., Solonnikov V. A., Uraltseva N. N., Lineinye i kvazilineinye uravneniya parabolicheskogo tipa, Nauka, M., 1967, 736 pp.
[11] Porper F. O., Eidelman S. D., “Dvustoronnie otsenki fundamentalnykh reshenii parabolicheskikh uravnenii vtorogo poryadka i nekotorye ikh prilozheniya”, Uspekhi matem. nauk, 39:3 (1984), 107–156 | MR | Zbl
[12] Aronson D. G., Serrin J., “Local behavior of solutions of quasilinear parabolic equations”, Arch. Ration. Mech. Anal., 25 (1967), 81–122 | DOI | MR | Zbl
[13] Denisov V. N., “O povedenii reshenii parabolicheskikh uravnenii pri bolshikh znacheniyakh vremeni”, Uspekhi matem. nauk, 60:4 (2005), 145–212 | MR | Zbl
[14] Stroock D. W., Varadhan S. R. S., Multidimensional Diffusion Processes, Springer-Verlag, Berlin–New York, 1979, 338 pp. | MR | Zbl
[15] Shaposhnikov S. V., “Otsenki reshenii parabolicheskikh uravnenii dlya mer”, Dokl. RAN, 434:4 (2010), 454–458 | Zbl
[16] Shaposhnikov S. V., “Nizhnie otsenki plotnostei reshenii parabolicheskikh uravnenii dlya mer”, Dokl. RAN, 428:6 (2009), 1–5
[17] Bogachev V. I., Rëkner M., Shaposhnikov S. V., “Polozhitelnye plotnosti perekhodnykh veroyatnostei diffuzionnykh protsessov”, Teoriya veroyatn. i ee primen., 53:2 (2008), 213–239
[18] Bogachev V. I., Rëkner M., Shaposhnikov S. V., “Nizhnie otsenki plotnostei reshenii ellipticheskikh uravnenii dlya veroyatnostnykh mer”, Dokl. RAN, 426:2 (2009), 1–6
[19] Agafontsev B. V., Bogachev V. I., Shaposhnikov S. V., “Usloviya polozhitelnosti plotnosti invariantnoi mery”, Dokl. RAN, 2011 (to appear)
[20] Trudinger N. S., “Pointwise estimates and quasilinear parabolic equations”, Comm. Pure Appl. Math., 21 (1968), 205–226 | DOI | MR | Zbl
[21] Moser J., “A Harnack inequality for parabolic differential equations”, Comm. Pure Appl. Math., 17 (1964), 101–134 | DOI | MR | Zbl