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

Abstract

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.

Authors and Affiliations

S. Sharyn

Keywords

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  • EP ID EP327183
  • DOI 10.15330/cmp.8.2.313-322
  • Views 77
  • Downloads 0

How To Cite

S. Sharyn (2016). Application of the functional calculus to solving of infinite dimensional heat equation. Карпатські математичні публікації, 8(2), 313-322. https://europub.co.uk/articles/-A-327183