Fourier Ultra-Hyperfunctions as Boundary Values of Smooth Solutions of the Heat Equation

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

We consider Fourier ultra-hyperfunctions and characterize them as boundary values of smooth solutions of the heat equation. Namely we show that the convolution of the heat kernel and a Fourier ultra-hyperfunction is a smooth solution of the heat equation with some exponential growth condition and, conversely that such smooth solution can be represented by the convolution of the heat kernel and a Fourier ultra-hyperfunction.

Original languageEnglish
Pages (from-to)381-398
Number of pages18
JournalTokyo Journal of Mathematics
Volume25
Issue number2
DOIs
Publication statusPublished - 2002 Jan 1
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Fourier Ultra-Hyperfunctions as Boundary Values of Smooth Solutions of the Heat Equation. / Suwa, Masanori.

In: Tokyo Journal of Mathematics, Vol. 25, No. 2, 01.01.2002, p. 381-398.

Research output: Contribution to journalArticle

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