Flux across nonsmooth boundaries and fractal Gauss/Green/Stokes' theorems

Journal of Physics A: Mathematical and General

Volumn 32, Issue 28, 1999, Pages 5317-5327

  Harrison, J ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040631642     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/32/28/310     Document Type: Article

References (10)

1. Federer H 1969 Geometric Measure Theory (New York: Springer)
2. de Giorgi E 1954 Su una teoria generale della misura (r - 1)-dimensionale in uno spacio ad r dimensioni Annali di mat. pura ed appl. Ser4 36 191-213
3. Harrison J and Norton A 1992 The Gauss-Green theorem for fractal boundaries Duke J. Math. 67 575-88
4. Harrison J 1993 Stokes' theorem on nonsmooth chains (Bulletin AMS October)
5. Harrison J 1998 Continuity of the integral as a function of the domain J. Geometric Analysis to appear
6. Harrison J 1998 Isomorphisms of differential forms and cochains J. Geometric Analysis to appear
7. Harrison J 1999 Geometric realizations of distributions and currents, submitted
8. Harrison J 1999 Geometric dual to the Hodge * operator with applications to theorems of Green and Gauss, submitted
9. Harrison J Fractal dimension and mass of nonsmooth domains Preprint
10. Whitney H 1950 Geometric Integration Theory (Princeton, NJ: Princeton University press)