Partial Differential Equations/The wave equation

From Wikibooks, open books for an open world
Jump to navigation Jump to search
Partial Differential Equations
 ← The Fourier transform The wave equation The Malgrange-Ehrenpreis theorem → 

Fundamental solution[edit]

Initial value problem[edit]

Definition 9.?:

Let . The initial value problem for the wave equation is defined to be the problem to find a function such that

.

We will first solve the initial value problem in the case

Exercises[edit]

Sources[edit]

Partial Differential Equations
 ← The Fourier transform The wave equation The Malgrange-Ehrenpreis theorem →