Application of the functional calculus to solving of infinite dimensional heat equation

In this paper we study infinite dimensional heat equation associated with the Gross Laplacian. Using the functional calculus method, we obtain the solution of appropriate Cauchy problem in the space of polynomial ultradifferentiable functions. The semigroup approach is considered as well.

Uloženo v:

Podrobná bibliografie
Vydáno v:	Karpats'kì matematinì publìkacìï Ročník 8; číslo 2; s. 313 - 322
Hlavní autor:	Sharyn, S.V.
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Vasyl Stefanyk Precarpathian National University 30.12.2016
Témata:	gross laplacian infinite dimensional heat equation space of polynomial ultradifferentiable functions space of polynomial ultradistributions
ISSN:	2075-9827, 2313-0210
On-line přístup:	Získat plný text
Tagy:	Přidat tag Žádné tagy, Buďte první, kdo vytvoří štítek k tomuto záznamu!

Popis
Shrnutí:	In this paper we study infinite dimensional heat equation associated with the Gross Laplacian. Using the functional calculus method, we obtain the solution of appropriate Cauchy problem in the space of polynomial ultradifferentiable functions. The semigroup approach is considered as well.
ISSN:	2075-9827 2313-0210
DOI:	10.15330/cmp.8.2.313-322