M. Christ

activity

19922026

most citedIll-posedness for nonlinear Schrodinger and wave equations

119 citations · 535 across the 64 of their papers we have counts for

collaborators

71 papers

math.CA2026

Remarks on Gaussian-stability for Brascamp--Lieb Inequalities

Jonathan Bennett, Michael Christ

We establish a stable form of the general Euclidean Brascamp-Lieb inequality in all cases in which the Lebesgue exponents are strictly between 1 and 2, asserting that all near-extr…

math.CA2022★ 1 cited

Examples of Hölder-stable Phase Retrieval

Michael Christ, Ben Pineau, Mitchell A. Taylor

Examples are constructed of infinite-dimensional subspaces $V \subset L^{2} (μ)$ with the property that for any $f, g \in V$ , if $∣ f ∣$ is approximately equal to $∣ g ∣$ with respect to the…

math.CA2022

A three term sublevel set inequality

Michael Christ

Let $B$ be a ball in $R^{2}$ . For $j = 1, 2, 3$ let $φ_{j} : B \to R^{1}$ be real analytic submersions, and let $a_{j}$ be real analytic coefficient functions. To any $\varepsi…

math.CA2022★ 1 cited

On implicitly oscillatory quadrilinear integrals

Michael Christ

For quadrilinear functionals $\int_{B} \prod_{j = 1}^{4} (f_{j} \circ φ_{j})$ , where $B \subset R^{2}$ is a ball, $φ_{j} : B \to R^{1}$ are real analytic submersions, and $f_j\in L^\in…

math.CA2022

A class of singular bilinear maximal functions

Michael Christ, Zirui Zhou

Lebesgue space bounds $L^{p_{1}} (R^{1}) \times L^{p_{2}} (^{1}) \to L^{q} (R^{1})$ are established for certain maximal bilinear operators. The proof combines a trilinear smoo…

math.DS2020★ 4 cited

Pointwise convergence of certain continuous-time double ergodic averages

Michael Christ, Polona Durcik, Vjekoslav Kovač +1

We prove a.e. convergence of continuous-time quadratic averages with respect to two commuting $R$ -actions, coming from a single jointly measurable measure-preserving $\mat…