- #1
defunc
- 55
- 0
Hi all,
Suppose the solution of a pde exists and is unique, what can be said about the smoothness thereof? In general, is there some theory regarding the smoothness of the solution and its derivatives and how it depends on the boundary and boundary values? For example, if the boundary values are continuous, wil the solution always be continuous? And what can be said about the derivatives of the solution?
Suppose the solution of a pde exists and is unique, what can be said about the smoothness thereof? In general, is there some theory regarding the smoothness of the solution and its derivatives and how it depends on the boundary and boundary values? For example, if the boundary values are continuous, wil the solution always be continuous? And what can be said about the derivatives of the solution?