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2020 Mathematics Subject Classification: Primary: 26A45 [MSN][ZBL] (Functions of one variable)

2020 Mathematics Subject Classification: Primary: 26B30 Secondary: 28A1526B1549Q15 [MSN][ZBL] (Functions of severable variables)


Functions of one variable

Definition

Generalizations

General properties

Structure theorem

Lebesgue decomposition

Examples

Historical remark

Jordan criterion

Functions of several variables

Historical remarks

Definition

Consistency in one variable

Functional properties

Structure theorem

Slicing

Tonelli variation

Caccioppoli sets

Reduced boundary

Gauss-Green theorem

Coarea formula

Volpert chain rule

Alberti's rank-one theorem

Functions of special bounded variation

Notable applications

Plateau's problem

Isoperimetry

Hyperbolic conservation laws

Mumford shah functional

Cahn-Hilliard

References

How to Cite This Entry:
Camillo.delellis/sandbox. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Camillo.delellis/sandbox&oldid=27690