Embedding theorems in Banach-valuedOpen image in new window-spaces and maximalOpen image in new window-regular differential-operator equationsReport as inadecuate




Embedding theorems in Banach-valuedOpen image in new window-spaces and maximalOpen image in new window-regular differential-operator equations - Download this document for free, or read online. Document in PDF available to download.

Journal of Inequalities and Applications

, 2006:16192

First Online: 31 July 2006Received: 28 September 2004Revised: 08 November 2005Accepted: 04 May 2006

Abstract

The embedding theorems in anisotropic Besov-Lions type spacesOpen image in new window are studied; hereOpen image in new window andOpen image in new window are two Banach spaces. The most regular spacesOpen image in new window are found such that the mixed differential operatorsOpen image in new window are bounded fromOpen image in new window toOpen image in new window, whereOpen image in new window are interpolation spaces betweenOpen image in new window andOpen image in new window depending onOpen image in new window andOpen image in new window. By using these results the separability of anisotropic differential-operator equations with dependent coefficients in principal part and the maximalOpen image in new window-regularity of parabolic Cauchy problem are obtained. In applications, the infinite systems of the quasielliptic partial differential equations and the parabolic Cauchy problems are studied.

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Author: Veli B. Shakhmurov

Source: https://link.springer.com/







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