Abstract
We construct exponentially growing solutions for first-order perturbations of the Laplacian which are not smooth. We apply this kind of solution to prove global uniqueness for an inverse boundary value problem for the Schrödinger equation in the presence of a magnetic field.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 116-133 |
| Number of pages | 18 |
| Journal | SIAM Journal on Mathematical Analysis |
| Volume | 29 |
| Issue number | 1 |
| DOIs | |
| State | Published - Jan 1998 |
Keywords
- Dirichlet-Neumann map
- Exponentially growing solutions
- Inverse boundary problems