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