By an easy trick taken from caloric polynomial theory, we construct a family ℬ of almost regular domains for the caloric Dirichlet problem. ℬ is a basis of the Euclidean topology. This allows to build, with a basically elementary procedure, the Perron solution to the caloric Dirichlet problem on every bounded domain.
On the Perron solution of the caloric Dirichlet problem: an elementary approach
Kogoj, Alessia E.
;
2022
Abstract
By an easy trick taken from caloric polynomial theory, we construct a family ℬ of almost regular domains for the caloric Dirichlet problem. ℬ is a basis of the Euclidean topology. This allows to build, with a basically elementary procedure, the Perron solution to the caloric Dirichlet problem on every bounded domain.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
