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Abstract. These are notes from a two-quarter class on PDEs that are heavily based on the book Partial Differential Equations by L. C. Evans, together introduce later on. Definition 1.8. maximal function) see Folland [11] or Taylor [42].
Title:Introduction to Partial Differential Equations. Second Edition by Gerald B. Folland Author:Gerald B. Folland Publisher:Princeton University Press.
Lecture One: Introduction to PDEs. • Equations from physics. • Deriving the 1D wave equation. • One way wave equations. • Solution via characteristic curves.
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