Methods for Partial Differential Equations

Provides an overview on different topics of the theory of partial differential equationsPresents a comprehensive treatment of semilinear models by using appropriate qualitative properties and a-priori estimates of solutions to the corresponding linear models and several methods to treat non-linearities Supports the preparation of courses on selected topics of the theory of partial differential equations for advanced undergraduate and graduate students

Marcelo Rempel Ebert (1977) is an Associate Professor at the Department of Computing and Mathematics at the University of São Paulo (USP). He obtained his Ph.D. degree in 2004 from Federal University of São Carlos, Brazil.  His original contributions are mainly devoted to Evolution  partial differential equations, in particular, questions related to the asymptotic behaviour and global existence of solutions for the Cauchy problem to semilinear wave equations. Michael Gerhard Reissig (1958) is Professor for Partial Differential Equations at the Institute of Applied Analysis of the Technical University Bergakademie Freiberg. He obtained the degree Dr.rer.nat. in 1987, Dr.sc. in 1991 and Dr.habil. in 1992. His main contributions are devoted to the abstract Cauchy-Kovalevskaja theory, to Hele-Shaw flows, to elliptic equations, hyperbolic equations and Schrödinger equations as well.