Uniqueness of the solution with certain boundary conditions

[M. next]

Hey!


Speaking electrodynamics, I can't seem to get mathematically or even physically convinced that the solution with Dirichlet or Neumann boundary conditions is UNIQUE.

Can someone explain it?

Thanks.

 

[mikeph]

What equation are you solving? Sometimes you have uniqueness, sometimes you might not depending on the problem and the boundary conditions.

 

[Chestermiller]

Hey!


Speaking electrodynamics, I can't seem to get mathematically or even physically convinced that the solution with Dirichlet or Neumann boundary conditions is UNIQUE.

Can someone explain it?

Thanks.

Are the equations linear? If so, are you aware that the solution has to be unique? See if you can prove this mathematically by making use of the characteristics of linear equations.

Chet