Endpoint maximal and smoothing estimates for Schrödinger equations
نویسندگان
چکیده
منابع مشابه
Endpoint Maximal and Smoothing Estimates for Schrödinger Equations
For α > 1 we consider the initial value problem for the dispersive equation i∂tu + (−∆) u = 0. We prove an endpoint L inequality for the maximal function supt∈[0,1] |u(·, t)| with initial values in L -Sobolev spaces, for p ∈ (2 + 4/(d+1),∞). This strengthens the fixed time estimates due to Fefferman and Stein, and Miyachi. As an essential tool we establish sharp L space-time estimates (local in...
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ژورنال
عنوان ژورنال: Journal für die reine und angewandte Mathematik (Crelles Journal)
سال: 2010
ISSN: 0075-4102,1435-5345
DOI: 10.1515/crelle.2010.018