Beginning Partial Differential Equations, 3rd Edition

Chapter 9

End Materials

9.1 Notation

Notation in this book is for the most part standard. This list includes notation that might be less familiar. Page references are included for convenience.

f(c−), f(c+)     left and right limits of f(x) at x = c (17)

S(x, y, z; t)     sphere of radius t about (x, y, z) (141)

     del (or gradient) operator (147)

²u     Laplacian of u (147)

Rⁿ     space of n–vectors (165)

B(a, r)     open ball of radius r about a (166)

x A     x is an element of a set A (165)

{x | x has property P}     the set of objects having property P (166)

     closed ball of radius r about a (167)

∂A     boundary of A (167)

     closure of A (170)

B ⊂ A     B is a subset of A (166)

     the empty set (167)

B − A     set difference consisting of all elements of B not in A (166)

C² (A)     set of functions that are continuous on A with continuous first and second partial derivatives ...