M. Christ

activity

20022012

most citedIll-posedness for nonlinear Schrodinger and wave equations

119 citations · 291 across the 19 of their papers we have counts for

collaborators

Showing 2010 · math.CAShow all

2 papers · 2 filters

math.CA2010

Smoothness of Extremizers of a Convolution Inequality

Michael Christ, Qingying Xue

Let $d \geq 2$ and $T$ be the convolution operator $T f (x) = \int_{R^{d - 1}} f (x^{'} - t, x_{d} - ∣ t ∣^{2}) d t$ , which is is bounded from $L^{(d + 1) / d} (R^{d})$ to $L^{d + 1} (R^{d})$ . We show…

math.CA2010

Gaussians Rarely Extremize Adjoint Fourier Restriction Inequalities For Paraboloids

Michael Christ, René Quilodrán

It was proved independently by Foschi and Hundertmark, Zharnitsky that Gaussians extremize the adjoint Fourier restriction inequality for L^2 functions on the paraboloid in the two…