Extensions of the space of continuous functions and embedding theorems

The machinery of -dimensionally continuous functions is developed for the purpose of applying it to the Dirichlet problem for elliptic equations. With this extension of the space of continuous functions, new generalized definitions of classical and generalized solutions of the Dirichlet problem are...

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Veröffentlicht in:	Sbornik. Mathematics 2020-11, Vol.211 (11), p.1551-1567
1. Verfasser:	Gushchin, A. K.
Format:	Artikel
Sprache:	eng
Schlagworte:	Committees Continuity (mathematics) Dirichlet problem elliptic equation Elliptic functions Embedding Function space generalizations of continuous functions Tornadoes
Online-Zugang:	Volltext
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