Rezumat articol ediţie STUDIA UNIVERSITATIS BABEŞ-BOLYAI

În partea de jos este prezentat rezumatul articolului selectat. Pentru revenire la cuprinsul ediţiei din care face parte acest articol, se accesează linkul din titlu. Pentru vizualizarea tuturor articolelor din arhivă la care este autor/coautor unul din autorii de mai jos, se accesează linkul din numele autorului.

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.