Vysoké učení technické v Brně, Fakulta stavební,
Ústav matematiky a deskriptivní geometrie
Vás zve na přednášku
On the Systems of Nonlinear Evolution Equations – Existence and Uniqueness vie Theory of M-Matrices
Úterý 5. listopadu 2024 ve 12:30
Abstract. A system of nonlinear evolution equations with strictly monotone operators and perturbations satisfying certain counterpart of one-sided Lipschitz condition is considered. To reach the existence and uniqueness result, a certain remetrization method is proposed based on M-matrices theory and utilizing the Gelfand triple setting, which enables usage of a certain type of relaxed monotonicity. Asymptotic properties of the solution are also investigated by showing that any solution tends to the solution of a stationary problem. The results obtained are illustrated by considering a system of equations involving (q,p)-Laplacians and suitable non-monotone perturbations.
v zasedací místnosti ústavu (2. patro Z205), ul. Žižkova 17.
Přednášku přednese Dr. Michał Bełdziński,
Department of Mathematics, University of Pannonia, Egyetem út 10, 8200, Veszprém, Hungary
Přednáška je určena všem zájemcům o problematiku.
Ing. Jan Holešovský, Ph.D.
vedoucí ÚMDG
