BUT Faculty of Civil Engineering,
Department of Mathematics and Descriptive Geometry
invites you to a lecture
On the Systems of Nonlinear Evolution Equations – Existence and Uniqueness vie Theory of M-matrices
Tuesday 5th November 2024 at 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.
At the department meeting room (2nd floor Z205), Žižkova 17.
The lecture will be given by Dr. Michał Bełdziński,
Institute of Mathematics, Lodz University of Technology, Lodz, Poland
The lecture is intended for all those interested in these problems.
Ing. Jan Holešovský, Ph.D.
Head of the Institute of Mathematics and Descriptive Geometry
