7. Math Notes

7.1. Functional Analysis

Comcepts:

Harmonic function:

http://en.wikipedia.org/wiki/Harmonic_function

Differentiable manifold:

http://en.wikipedia.org/wiki/Differentiable_manifold

Urysohn’s lemma:

http://en.wikipedia.org/wiki/Urysohn_lemma#Formal_statement

Densely defined operator:

http://en.wikipedia.org/wiki/Densely_defined_operator

Partial Isometry:

http://en.wikipedia.org/wiki/Partial_isometry

7.2. Applied PDE

Gronwall’s inequality:

http://en.wikipedia.org/wiki/Gronwall’s_inequality