A sharp Schrödinger maximal estimate in R[superscript 2]
We show that lim[subscript t→0] e[superscript itΔ]f(x) = f(x) almost everywhere for all f ∈ H[superscript s](R[superscript 2]) provided that s > 1/3. This result is sharp up to the endpoint. The proof uses polynomial partitioning and decoupling.
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Annals of Mathematics, Princeton U,
2018-05-22T18:20:39Z.
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| Subjects: | |
| Online Access: | Get fulltext |