Basic Monotonicity Methods with Some Applications

Provides basics in the theory of monotone operators Offers a transition to more advanced topics Includes examples with ODEs

Autorentext

Marek Galewski is a professor at the Institute of Mathematics of the Lodz University of Technology in Lodz, Poland.

Inhalt
Preface.- Introduction to the topic of the course.- Some excerpts from functional analysis.- Monotone operators.- On the Fenchel-Young conjugate.- Potential operators.- Existence of solutions to abstract equations.- Normalized duality mapping.- On the Galerkin method.- Some selected applications.