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Analytic Solvability of the Hörmander Problem and the Borel Transformation of Multiple Laurent Series

Описание

Тип публикации: статья из журнала

Год издания: 2022

Идентификатор DOI: 10.17516/1997-1397-2022-15-2-184-193

Ключевые слова: borel transformation, difference operator, hörmander problem, polynomial differential operator

Аннотация: In this paper, the initial-boundary value problem of Hormander is formulated in the class of functions representable by Laurent series supported in rational cones. Using the Borel transformation of Laurent series we establish a connection between a differential and a difference problems and prove its global analytic solvability. © Показать полностьюSiberian Federal University. All rights reserved.

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Издание

Журнал: Journal of Siberian Federal University - Mathematics and Physics

Выпуск журнала: Vol. 15, Is. 2

Номера страниц: 184-193

ISSN журнала: 19971397

Издатель: Siberian Federal University

Персоны

  • Leinartas E.K. (Siberian Federal University, Krasnoyarsk, Russian Federation)
  • Yakovleva T.I. (Siberian Federal University, Krasnoyarsk, Russian Federation)

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