10. Generalizations, extensions and restrictions
The space of real-valued functions with bounded variations defined on a bounded non-empty open U of whose traces on the topological boundary ∂U of this U open take the value zero is denoted . These functions are used in modern partial differential equation theory.
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Generalizations, extensions and restrictions
Bibliography
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(1) - ALBERTI (G.), MANTEGAZZA (C.) - A Note on the Theory of SBV Functions, - Bollettino Unione Matematica Italiana Sezione B, Vol. 7, n° 11, pp. 375-382 (1997).
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(2) - AMBROSIO (L.) - Metric space valued functions with bounded variation, - Annali della Scuola Normale...
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