On the Schrödinger Maximal Function in Higher Dimension
نویسنده
چکیده
New estimates on the maximal function associated to the linear Schrödinger equation are established.
منابع مشابه
On the Boundedness in H of the Maximal Square Function Associated with the Schrödinger Equation
A long standing conjecture for the linear Schrödinger equation states that 1/4 of derivative in L, in the sense of Sobolev spaces, suffices in any dimension for the solution to that equation to converge almost everywhere to the initial datum as the time goes to 0. This is only known to be true in dimension 1 by work of Carleson. In this paper we show that the conjecture is true on spherical ave...
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