Sobolev

Suppose further that the subspace of the Sobolev space... 

Let Sobolev space consist of functions having the first gener-... 

Here is the Sobolev space of functions having square integrable... 

Here, IFf (He) is the Sobolev space of functions having derivatives up to the second order belonging to L flc). 

Consider the Sobolev space IFf (Dc) of functions whose derivatives up to the second order in flc are integrable with the first power. Introduce the notation... 

Adams R.A. (1975) Sobolev spaces. Academic Press, New York. 

V.A. Sobyanin, V.I. Sobolev, V.D. Belyaev, O.A. Mar ina, A.K. Demin, and A.S. Lipilin, On the origin of the Non-Faradaic electrochemical modification of catalytic activity (NEMCA) phenomena. Oxygen isotope exchange on Pt electrode in cell with solid oxide electrolyte, Catal. Lett. 18, 153-164 (1993). 

Sobolev AN, Belsky VK, Romm IP, Chernikova NY, Guryanova EN (1985) Acta Crystallogr Sect C 41 967... 

Difference analogs of the embedding theorems. In the estimation of various properties of difference schemes such as stability, convergence, etc. we shall need yet inequalities corresponding to the simplest Sobolev embedding theorems. In this respect the appropriate results have been obtained with the following lemmas. 

Gennady I. Panov, Vladimir I. Sobolev, Konstantin A. Dubkov and Alexander S. Kharitonov Boreskov Institute of Catalysis, Novosibirsk, 630090 Russia... 

E. Smirnov, L. Makarshin, V. Sobolev, V. Parmon and G. Panov, in preparation. 

Sobolev VI, Dubkov KA, Panna OV, Panov Gl (1995) Catal Today 24 251... 

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