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Lecture Notes 2010 Sergiu Klainerman Department of Mathematics, Princeton University, Princeton NJ 08544 E-mail address: seri@math.princeton.edu 1. INTRODUCTION 3 1. INTRODUCTION The world of Partial Differential Equations To start with partial differential equations, just like ordinary differential or integral equations, are functional equations. That means that the unknown, or unknowns, we are trying to determine are functions. In…
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