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.The readers are left to find the solution in the exercises; the answers, and occasionally, some hints, are still given. 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.