Weak Solution/Examples

Examples of Weak Solutions

Distributional Solution

Let $D$ be a differential operator.

Let $T, F \in \map {\DD'} {\R^n}$ be distributions where $F$ is given.

Consider the distributional differential equation:

$D T = F$

Then $T$ is known as the distributional solution.

Viscosity Solution

Weak Solution/Examples/Viscosity Solution