O'Reilly logo

Beginning Partial Differential Equations, 3rd Edition by Peter V. O'Neil

Stay ahead with the world's most comprehensive technology and business learning platform.

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, tutorials, and more.

Start Free Trial

No credit card required

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)

BA     B is a subset of A (166)

     the empty set (167)

BA     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 ...

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, interactive tutorials, and more.

Start Free Trial

No credit card required