The divergence theorem and sets of finite perimeter. (©2012)

• Record Type: Book
• Further Information: Note: Washek F. Pfeffer.
• Other Names: Pfeffer, Washek F
• Contents: DYADIC FIGURES; Preliminaries; The setting; Topology; Measures; Hausdorff measures; Differentiable and Lipschitz maps Divergence Theorem for Dyadic Figures; Differentiable vector fields; Dyadic partitions; Admissible maps; Convergence of dyadic figures Removable Singularities; Distributions; Differential equations; Holomorphic functions; Harmonic functions; The minimal surface equation; Injective limits SETS OF FINITE PERIMETER; Perimeter; Measure-theoretic concepts; Essential boundary; Vitali’s covering theorem; Density; Definition of perimeter; Line sections BV Functions; Variation; Mollification; Vector valued measures; Weak convergence; Properties of BV functions; Approximation theorem; Coarea theorem; Bounded convex domains ; Inequalities Locally BV Sets; Dimension one; Besicovitch’s covering theorem; The reduced boundary; Blow-up; Perimeter and variation; Properties of BV sets; Approximating by figures THE DIVERGENCE THEOREM; Bounded Vector Fields; Approximating from inside; Relative derivatives; The critical interior; The divergence theorem; Lipschitz domains Unbounded Vector Fields; Minkowski contents; Controlled vector fields; Integration by parts Mean Divergence; The derivative; The critical variation Charges; Continuous vector fields; Localized topology; Locally convex spaces; Duality; The space BVc (Ω); Streams The Divergence Equation; Background; Solutions in Lp (Ω; Rn ) ; Continuous solutions Bibliography List of Symbols Index
• Publisher Details: Boca Raton : CRC Press
• Publication Date: 2012
• Copyright Date: 2012
• Extent: 1 online resource (xv, 236 pages)
• Subjects: 515/.4; Differential calculus; Divergence theorem; MATHEMATICS -- Calculus; MATHEMATICS -- Mathematical Analysis; Differential calculus; Divergence theorem; Electronic books
• Languages: English
• ISBNs: 9781466507210; 1466507217
• Related ISBNs: 1466507195; 1466507217; 9781466507197
• Notes: Note: Includes bibliographical references and index.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.