general concepts
----------------
- method of characteristics                     (chpt 4)
- classical solution to transport eqn           (chpt 4)
- uniqueness of diffusion eqn                   (page 417)
- stability of diffusion eqn                    (page 417)
- greens fn for half space                      (page 508)
- greens fn for 3D ball                         (page 512)
- solving wave eqn                              (page 158)
- domain of influence/dependence                (sct 5.4)
- energy shit                                   (see notes online)
- duhamels principle                            (see notes online)
- kirchhoffs formula for 3D wave                (page 204)

formulas
--------
- integral of radial fn in 3D                   (page 48)
- divergence theorem                            (page 53)
- greens theorem                                (page 53)
- laplacian of radial fn in 3D                  (page ??)
- vector field IBP                              (page 55)
- greens first identity                         (page 56)
- greens second identity                        (page 56)
- passing limits under integration              (page 64)
- heaviside function and its distributional derivative      (page 248)
- FT properties                                 (page 358)
- FT of 1                                       (page 296)
- FT of gaussian                                (page 309)
- diffusion IVP solution                        (page 371)
- laplacian of fundamental soln (laplace)       (page 489)
- poisson equation soln                         (page 495)
- representation formula                        (page 497)

definitions
-----------
- distribution                                  (page 239)
- convergence of test fns                       (page 241)
- distributional derivative                     (page 246)
- convergence of distributions                  (page 253)
- fourier transform                             (page 291)
- inverse fourier transform                     (page 295)
- convolution                                   (page 301)
- schwartz class                                (page 323)
- tempered distribution                         (page 324)
- FT of tempered distribution                   (page 325)
- diffusion equation fundamental soln           (page 371)
- laplace dirichlet & neumann problems          (page 418)
- fundamental soln (laplace)                    (page 494)
- greens fn                                     (page 502)
- greens fn H                                   (page 502)
- dalemberts formula                            (page 160)
- wave eqn dirichlet on half line               (page 178)

theorems
--------
- diffusion maximum principle                   (page 404)
- mean value property                           (page 424)
- laplace maximum principle                     (page 426)
- greens fn soln to laplace eqn                 (page 502)
- greens fn soln to poisson eqn                 (page 503)