Consider the equation, on .
Say that solves the equation on .
Then it must mean or .
By the method of charachteristics it means where is some differenciable function.
However, this is just a solution .
Is there a non-trivial solution on ?
Consider the equation, on .
Say that solves the equation on .
Then it must mean or .
By the method of charachteristics it means where is some differenciable function.
However, this is just a solution .
Is there a non-trivial solution on ?