math 4347 – introduction to pde...
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MATH 4347 – Introduction to PDE (Harrell)
11/11/11 Triple prime time for a review
Copyright 2011 by Evans M. Harrell II.
MATH 4347 – Introduction to PDE (Harrell)
11/11/11 Triple prime time for a review
Copyright 2011 by Evans M. Harrell II.
WHAT’S THE TEST ALL ABOUT? • ZT, Chapter 6. • ZT, Chapter 7, §§1-4, 5 (except representation theorem), 6, 7 (except Poisson’s integral), 8. • ZT, Chapter 9, §§1-2. • Related parts of HH.
New harmonic functions from old
reflections rotations similarities (scale by λ) For R2, inversion through the circle rr* = a2.
strange fact: If u(r,θ) is harmonic, then so is u*(r*,θ) = u(a2/r*,θ) (2D) or (a/r*) u(a2/r*,θ) (3D)
Who invented the Dirac Delta function?
