Some New Concepts of Dimension.

Autor: Brezis, Haim, Ambrosetti, Antonio, Bahri, A., Browder, Felix, Cafarelli, Luis, Evans, Lawrence C., Giaquinta, Mariano, Kinderlehrer, David, Klainerman, Sergiu, Kohn, Robert, Lions, P. L., Mahwin, Jean, Nirenberg, Louis, Peletier, Lambertus, Rabinowitz, Paul, Toland, John, Staicu, Vasile, Myjak, Józef
Zdroj: Differential Equations, Chaos & Variational Problems; 2008, p317-344, 28p
Abstrakt: This paper contains a review of recent results concerning some new concepts of analytical dimensions of sets and measures. We make in evidence the relationship between these new concepts and the classical once. In particular we give some results concerning estimates, variational principles and generic properties. Finally, we give some applications in the theory of iterated function systems and the theory of differential equations. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index