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Your search keyword '"Ermanno Lanconelli"' showing total 2 results
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2 results on '"Ermanno Lanconelli"'

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

Author

Alessia E. Kogoj and Ermanno Lanconelli

Subjects
heat equation, caloric dirichlet problem, perron solution, potential analysis, Analysis, QA299.6-433
Abstract

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 problem on arbitrary bounded open subsets of the Euclidean space-time.

Published
2023
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