The STUDIA UNIVERSITATIS BABEŞ-BOLYAI issue article summary

The summary of the selected article appears at the bottom of the page. In order to get back to the contents of the issue this article belongs to you have to access the link from the title. In order to see all the articles of the archive which have as author/co-author one of the authors mentioned below, you have to access the link from the author's name.

In 1968, the existence of a maximum principle for some systems of partial differential equations led us to the following problem (see I.A. Rus, Studia Univ. Babeș-Bolyai, 15(1968), No. 1, 19-26 and Glasnik Matematički, 5(1970),

this interesting relation between the theory of partial differential equations and the matrix theory. An application of an elliptic partial differential equation with complex valued coefficients is presented. New maximum principles are given and the case of infinite systems is also studied. Some open problems are formulated.

Mathematics Subject Classification (2010): 35B50, 15A60, 40C05, 35J47, 35K40, 15F60, 65F35, 65J05.

Keywords: strongly elliptic system, maximum principle, matrix norm, spectral matrix norm, equation with complex valued coefficients, infinite matrix, infinite system.