Generalizations, extensions and restrictions
Bounded Variation Functions
Article REF: AF109 V1
Generalizations, extensions and restrictions
Bounded Variation Functions

Author : Jean-Charles PINOLI

Publication date: May 10, 2025 | Lire en français

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10.  Generalizations, extensions and restrictions

10.1  Functions with bounded variations and zero traces

The space of real-valued functions with bounded variations defined on a bounded non-empty open U of n whose traces on the topological boundary ∂U of this U open take the value zero is denoted BV0(U,) . These functions are used in modern partial differential equation theory.

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