Partial Differential Equations/The wave equation

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

Fundamental solution[edit | edit source]

Initial value problem[edit | edit source]

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 | edit source]

Sources[edit | edit source]

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