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We shall also prove in subsection 3.4 that under the present assumptions if O K is free over A K/k ( O K ), then A K/k ( O K ) is a Hopf order and determine when the in- verse

In order to prove the stability theorem we exploit some uniqueness and regularity results for this class of equations that have been recently established in a companion paper [8]

Distributional adjoints of the main operators arising in fun- damental field theory are examined, with particular regard to their direct geometric construction, in the context

Then we prove some regularity results, in the sense of Sobolev or H¨older spaces (see Theorems 5, 6), when the coefficients are more regular, as well as the generalization of all

connects the theory of geometric dynamics to the theory of Tzitzeica solitons and of sine-Gordon solitons (see also [11, 25, 26]), i.e., the Tzitzeica soliton PDE respectively

2 The fourth article in the book 3 discusses the background leading to China's individual income tax reform in 1994, the changes arising from the revised law, and its significance

potentially difficult areas in algebra, it was generally thought that the particular questions set were.. less

The model consists in relaxing the distributional assumptions of asset returns to a situation where the underlying random processes modeling the spot prices of assets are