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This book covers a diverse range of topics in Mathematical Physics,
linear and nonlinear PDEs. Though the text reflects the classical
theory, the main emphasis is on introducing readers to the latest
developments based on the notions of weak solutions and Sobolev
spaces. In numerous problems, the student is asked to prove a given
statement, e.g. to show the existence of a solution to a certain
PDE. Usually there is no closed-formula answer available, which is
why there is no answer section, although helpful hints are often
provided. This textbook offers a valuable asset for students and
educators alike. As it adopts a perspective on PDEs that is neither
too theoretical nor too practical, it represents the perfect
companion to a broad spectrum of courses.
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