Partial Differential Equations through Examples and Exercises
The examples contain complete solutions, and also serve as a model for solving similar problems, given in the exercises. In the theory of PDEs, on one hand, one has an interplay of several mathematical disciplines, including the theories of analytical functions, harmonic analysis, ODEs, topology and last, but not least, functional analysis, while on the other hand there are various methods, tools and approaches.. In view of that, the exposition of new notions and methods in our book is "step by step".