Beginning Partial Differential Equations, 3rd Edition

Index

absolutely integrable

Africanus, Julius

amplitude spectrum

barrier function

Bessel

equation of order v

function of order v

function of the first kind of order v

function of the second kind of order v

inequality

Bessel’s equation of order v

best mean square approximation

boundary condition

for the heat equation

for the wave equation

nonhomogeneous

boundary point

bounded set

Burchfield, Joe D.

Burgers’ equation

traveling wave solutions

canonical form

elliptic

hyperbolic

parabolic

capacitance

to ground

Cauchy

data

problem

in three dimensions

on a half-line

wave equation

with forcing

Cauchy problem

wave equation

characteristic

curves

equation

quadrilateral

triangle

characteristics

quasi-linear equation

wave equation

closed set

closure

Cole-Hopf transformation

compact set

compatibility conditions

complex Fourier representation

connected set

conservation law

convection term

convergence

eigenfunction expansions

Fourier cosine series

Fourier sine series

of Fourier series

convolution

Fourier transform

Laplace transform

convolution theorem for the Fourier transform

current

d’Alembert’s solution

d’Alembert, Jean-Baptiste le Rond

damping term

Darwin, Charles

del symbol

density distribution

diffusion equation

diffusivity

Dirac delta function

Dirichlet

formula

kernel

problem

continuous dependence on data

existence of a solution

for a disk

for a rectangle

right quarter plane

uniqueness of solutions

upper half-plane

Dirichlet, Johann Peter Gustav Lejeune

discrete eigenvalues

distance ...