Application of monotone type operators to nonlinear PDEs [antikvár]

PREFACE These lecture notes are based on the series of lectures that were given by the author at the Eötvös Loránd University for master students in Mathematics and Applied Mathematics on the theory of linear and nonlinear partial differential equations. The prerequisite for this was an introductionary course on the theory of second order linear partial differential equations, some fundamental notions and theorems of functional analysis and the basic theory of ordinary differential equations. Hence, these lecture notes are at master level, however, we hope that the material will be useful for mathematics students of other universities and for non-mathematics students applying the theory of nonlinear partial differential equations. Acknowledgement The author appreciates the careful work of the referee's Ádám Besenyei and János Tóth who provided detailed comments, identified errors and typos, and helped to increase consistency of the notes. The lecture notes were written in the framework of the project TAMOP-4.1.2.A/1-11/1, titled Interdisciplinary and complex development of digital curriculum for science master programmes.