Laplace transform of K-semigroups and well-posedness of Cauchy problems / Melnikova I,Anufrieva U,Filinkov A // INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS. - 2000. - V. 9, l. 1. - P. 37-56.

ISSN/EISSN:

1065-2469 / нет данных

Type:

Article

Abstract:

We consider the abstract Cauchy problem u'(t) = Au(t), 0 less than or equal to t < T, u(0) = x, where (lambda-A)(-1) has an exponential growth in some domain of the right halfplane. To study well-posedness of the problem we use the technique of ultradistributions and K-convoluted semigroups with K(t) defined by the resolvent estimate.

Author keywords:

K-convoluted semigroup; generator; resolvent; ultradistribution; Cauchy problem; well-posedness LOCAL INTEGRATED SEMIGROUPS

DOI:

10.1080/10652460008819240

Web of Science ID:

ISI:000087878000003

Соавторы в МНС:

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Другие поля

Поле	Значение
Publisher	GORDON BREACH SCI PUBL LTD
Address	C/O STBS LTD, PO BOX 90, READING RG1 8JL, BERKS, ENGLAND
Language	English
Keywords-Plus	LOCAL INTEGRATED SEMIGROUPS
Research-Areas	Mathematics
Web-of-Science-Categories	Mathematics, Applied; Mathematics
Number-of-Cited-References	15
Journal-ISO	Integral Transform. Spec. Funct.
Doc-Delivery-Number	328XX