Czasopismo
Tytuł artykułu
Warianty tytułu
Języki publikacji
Abstrakty
In the case of initial data belonging to a wide class of functions including distributions of Gelfand-Shilov type we establish the correct solvability of the Cauchy problem for a new class of Shilov parabolic systems of equations with partial derivatives with bounded smooth variable lower coefficients and nonnegative genus. We also investigate the conditions of local improvement of the convergence of a solution of this problem to its limiting value when the time variable tends to zero.
Kategorie tematyczne
Wydawca
Czasopismo
Rocznik
Tom
Numer
Strony
1084-1102
Opis fizyczny
Daty
wydano
2012-06-01
online
2012-03-24
Twórcy
autor
- Yu. Fedkovych Chernivtsi National University
autor
- Yu. Fedkovych Chernivtsi National University
Bibliografia
- [1] Gel’fand I.M., Shilov G.E., Generalized Functions. 3, Academic Press, New York-London, 1967
- [2] Gel’fand I.M., Shilov G.E. Generalized Functions. 2, Academic Press, New York-London, 1968
- [3] Gorodetskii V.V., Localization principle for solutions of the Cauchy problem for parabolic systems in the class of generalized functions of infinite order, Differ. Uravn., 1985, 21(6), 1077–1079 (in Russian)
- [4] Khou-sin’ U., On the definition of parabolic systems of partial differential equations, Uspekhi Mat. Nauk, 1960, 15(6), 157–161 (in Russian)
- [5] Litovchenko V.A., Dovzhitska I.M., The fundamental matrix of solutions of the Cauchy problem for a class of parabolic systems of the Shilov type with variable coefficients, J. Math. Sci., 2011, 175(4), 450–476 http://dx.doi.org/10.1007/s10958-011-0356-0
- [6] Zhitomirskii Ya.I., The Cauchy problem for certain types of systems, parabolic in the sense of G.E. Shilov, of linear partial differential equations with variable coefficients, Izv. Akad. Nauk SSSR Ser. Mat., 1959, 23, 925–932 (in Russian)
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.doi-10_2478_s11533-012-0025-7