A basis of resolutive sets for the heat equation: an elementary construction

By an easy “trick” taken from the caloric polynomial theory, we prove the existence of a basis of the Euclidean topology whose elements are resolutive sets of the heat equation. This result can be used to construct, with a very elementary approach, the Perron solution of the caloric Dirichlet proble...

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Bibliographic Details
Main Authors: Alessia E. Kogoj, Ermanno Lanconelli
Format: Article
Language:English
Published: University of Bologna 2023-01-01
Series:Bruno Pini Mathematical Analysis Seminar
Subjects:
Online Access:https://mathematicalanalysis.unibo.it/article/view/16154