Integral representation of solutions of one parabolic equation with growing coefficients in the group of minor terms

• Date: 2015
• Author Affiliations: С. Д. Івасишен — Нацiональний технiчний унiверситет України "КПI"; Г. С. Пасічник — Чернівецький національний університет імені Юрія Федьковича
• Keywords: keywords
• Main Authors: Ivasyshen, S. D., Pasichnyk, G. S., Івасишен, С. Д., Пасічник, Г. С.
• Format: Article
• Language: Ukrainian
• Published: Інститут математики НАН України 2015
• Online Access: https://trim.imath.kiev.ua/index.php/trim/article/view/129
• Journal Title: Transactions of Institute of Mathematics of NAS of Ukraine

For a degenerate parabolic equation of the second order with constant coefficients in senior terms and with growing coefficients in minor terms, we prove the representation theorems in the form of the Poisson integrals for the solutions of the Cauchy problem and for the solutions defined in an open...