Basic properties of Sobolev's spaces on time scales

By Ravi P. Agarwal, Victoria Otero-Espinar, Kanishka Perera, Dolores R. Vivero. 2006

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We study the theory of Sobolev's spaces of functions defined on a closed subinterval of an arbitrary time scale endowed with the Lebesgue Δ-measure; analogous properties to that valid for Sobolev's spaces of functions defined on an arbitrary open interval of the real numbers are derived.

Subfields: Applied Mathematics, Control and Systems Engineering, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/9294f34e6df1831702c43c37d6e08abd3b7e87af