Generalized solutions of differential-operator equations with singular white noise / Melnikova I. V. // DIFFERENTIAL EQUATIONS. - 2013. - V. 49, l. 4. - P. 475-486.

ISSN/EISSN:

0012-2661 / нет данных

Type:

Article

Abstract:

In various distribution spaces, we study the Cauchy problem for the equation u'(t) = Au(t)+B (t), t a parts per thousand yen 0, with a singular white noise and an operator A generating various regularized semigroups in a Hilbert space. Depending on the properties of the operator A, we construct solutions generalized separately and jointly with respect to the time, random, and ``space{''} variables.

Author keywords:

нет данных

DOI:

10.1134/S0012266113040083

Web of Science ID:

ISI:000320474600008

Соавторы в МНС:

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Другие поля

Поле	Значение
Month	APR
Publisher	MAIK NAUKA/INTERPERIODICA/SPRINGER
Address	233 SPRING ST, NEW YORK, NY 10013-1578 USA
Language	English
Research-Areas	Mathematics
Web-of-Science-Categories	Mathematics
Funding-Acknowledgement	Ministry of Education and Science of the Russian Federation {[}1.1016.2011]; Russian Foundation for Basic Research {[}10-01-96003p]
Funding-Text	The research was supported by the Program of the Ministry of Education and Science of the Russian Federation (project no. 1.1016.2011) and the Russian Foundation for Basic Research (project no. 10-01-96003p).
Number-of-Cited-References	21
Journal-ISO	Differ. Equ.
Doc-Delivery-Number	165HP