Abstract
Recently, Cordero and Nicola [4] obtained inhomogeneous Strichartz estimates in Wiener amalgam spaces for the Schrödinger equation. In this paper we extend these estimates to a wider range for which the usual estimate ([8, 22]) in Lebesgue spaces is known to hold. This enables us to establish new Carleman estimates which are closely related to the extended estimates. Then we apply them to obtain new results on unique continuation for the Schrödinger equation with potentials in Wiener amalgam spaces.
| Original language | English |
|---|---|
| Pages (from-to) | 1203-1227 |
| Number of pages | 25 |
| Journal | Indiana University Mathematics Journal |
| Volume | 60 |
| Issue number | 4 |
| DOIs | |
| State | Published - 2011 |
| Externally published | Yes |
Keywords
- 35B60 (35Q40
- 42B35)
- Carleman estimate
- Schrödinger equation
- Strichartz estimate
- Unique continuation
- Wiener amalgam space. 2010 MATHEMATICS SUBJECT CLASSIFICATION: 35B45
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