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Parabolic equations with unbounded coefficients. (English) Zbl 0149.06804


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[1] Il’in, A. M.; Kalashnikov, A. S.; Oleinik, O. A., Second order linear equations of parabolic type, Russian Math. Surveys (Uspahi Mat. Nauk), 17, No. 3, 1-143 (1962) · Zbl 0988.35001
[2] Éǐdel’man, S. D., Parabolic Systems (1964), Izdat. Nauka: Izdat. Nauka Moscow, (Russian) · Zbl 0121.31902
[3] Friedman, A., Partial Differential Equations of Parabolic Type (1964), Prentice-Hall: Prentice-Hall Englewood Cliffs · Zbl 0144.34903
[4] Krzyżański, M., Sur la solution fondamentale de l’équation linéaire normale du type parabolique dont le dernier coefficient est non borné. II, Atti Accad. Naz. Lincei, Cl. Sc. fisiche, mat. natur., ser. VIII, 32, 471-476 (1962) · Zbl 0178.45502
[5] Éǐdel’man, S. D., On the Cauchy problem for parabolic systems with increasing coefficients, Dokl. Akad. Nauk SSSR, 127, 760-763 (1959), (Russian) · Zbl 0092.09702
[6] Krzyżański, M.; Szybiak, A., Construction et étude de la solution fondamentale de l’équation linéaire du type parabolique dont le dernier coefficient est non borné, Atti Accad. Naz. Lincei, Cl. Sc. fisiche, mat. natur., ser. VIII, 27, 1-10 (1959) · Zbl 0147.08902
[7] Itô, S., Fundamental solutions of parabolic differential equations and boundary value problems, Japan. J. Math., 27, 55-102 (1957) · Zbl 0092.31101
[8] Bodanko, W., Sur le problème de Cauchy et les problèmes de Fourier pour les équations paraboliques dans un domaine non borné, Ann. Polon. Math., 18, 79-94 (1966) · Zbl 0139.05504
[9] Nash, J., Continuity of solutions of parabolic and elliptic equations, Amer. J. Math., 80, 931-954 (1958) · Zbl 0096.06902
[10] Serrin, J., Introduction to Differentation Theory, (Lecture Notes (1965), University of Minnesota)
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