A sharp Schrodinger maximal estimate in R²
Du, Xiumin · Guth, Larry · Li, Xiaochun
Original · EN
We show that ₜ → ₀ eitΔf(x) = f(x) almost everywhere for all f ∈ Hˢ (R²) provided that s>1/3. This result is sharp up to the endpoint. The proof uses polynomial partitioning and decoupling.
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