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A Chain Rule Formula in the Space BV and Applications to Conservation Laws

โœ Scribed by Crasta, Graziano; De Cicco, Virginia

Book ID
118198773
Publisher
Society for Industrial and Applied Mathematics
Year
2011
Tongue
English
Weight
304 KB
Volume
43
Category
Article
ISSN
0036-1410

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โœ VirginiaDe Cicco; Giovanni Leoni ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Springer ๐ŸŒ English โš– 280 KB

A chain rule in the space L1 (div;ฮฉ) is obtained under weak regularity conditions.This chain rule has important applications in the study of lower semicontinuityproblems for general functionals of the form โ˜บฮฉ f(x, u,โˆ‡u) dx with respect to strong convergence in L1 (ฮฉ) . Classical results of Serrin an