Michael Christ

1. Ill-posedness for nonlinear Schrodinger and wave equations
   2003/11/04 by Michael Christ, James Colliander, Christ, Michael +3 · 7 citations
   Mathematics · #35L70 #35Q55 #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP #msc:35L70 #msc:35Q55
2. Vector A₂ weights and a Hardy-Littlewood maximal function
   2001/01/05 by Michael Christ, Michael Goldberg · 7 citations
   Mathematics · #Advanced Harmonic Analysis Research #Mathematical Analysis and Transform Methods #Holomorphic and Operator Theory
3. Asymptotics, frequency modulation, and low regularity ill-posedness for canonical defocusing equations
   2002/03/05 by Michael Christ, James Colliander, Christ, Michael +3 · 4 citations
   Mathematics · #35Q53 #35Q55 #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP #msc:35Q53 #msc:35Q55
4. Finite bounds for Holder-Brascamp-Lieb multilinear inequalities
   2005/05/31 by Jonathan Bennett, Anthony Carbery, Bennett, Jonathan +5 · 3 citations
   Mathematics · #Analytic and geometric function theory #Mathematical Approximation and Integration #Mathematical Inequalities and Applications #math.CA #msc:26D20 #msc:44A35
5. Sharp Hardy-Littlewood-Sobolev Inequalities on Quaternionic Heisenberg Groups
   2014/07/12 by Michael Christ, Heping Liu, Christ, Michael +3 · 3 citations
   Mathematics · Engineering · #Geometric and Algebraic Topology #Numerical methods in engineering #Algebraic and Geometric Analysis
6. Power series solution of a nonlinear Schroedinger equation
   2005/03/17 by Michael Christ, Christ, Michael · 2 citations
   Mathematics · #35Q55 #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #math.AP #math.CA #msc:35Q55
7. Communication lower bounds and optimal algorithms for programs that reference arrays -- Part 1
   2013/08/01 by Michael Christ, Christ, Michael, James Demmel +7 · 2 citations
   Engineering · #26D15 #68W40 #Classical Analysis and ODEs (math.CA) #Computational Complexity (cs.CC) #Data Structures and Algorithms (cs.DS) #FOS: Computer and information sciences #FOS: Mathematics #Sparse and Compressive Sensing Techniques #Topology Optimization in Engineering #VLSI and FPGA Design Techniques
8. Existence of Extremals for a Fourier Restriction Inequality
   2010/06/22 by Michael Christ, Shuanglin Shao, Christ, Michael +1 · 3 citations
   Mathematics · #Advanced Mathematical Physics Problems #Advanced Harmonic Analysis Research #Nonlinear Partial Differential Equations
9. On multilinear oscillatory integrals, nonsingular and singular
   2003/11/04 by Michael Christ, Xiaochun Li, Christ, Michael +5 · 1 citation
   Mathematics · #42B10 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #math.CA #msc:42B10
10. A class of singular bilinear maximal functions
    2022/03/31 by Michael Christ, Zirui Zhou, Christ, Michael +1 · 2 citations
    Mathematics · #Advanced Harmonic Analysis Research
11. Gaussians Rarely Extremize Adjoint Fourier Restriction Inequalities For\n Paraboloids
    2010/12/06 by Michael Christ, Christ, Michael, René Quilodrán +1 · 1 citation
    Mathematics · #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Numerical methods in inverse problems
12. Smoothness of Extremizers of a Convolution Inequality
    2010/12/25 by Michael Christ, Qingying Xue, Christ, Michael +1 · 1 citation
    Engineering · Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Spectral Theory in Mathematical Physics #Stability and Controllability of Differential Equations
13. Extremizers of a Radon transform inequality
    2011/06/03 by Michael Christ, Christ, Michael · 1 citation
    Engineering · Mathematics · #42B20 #42B99 #Advanced Numerical Analysis Techniques #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Fatigue and fracture mechanics #Numerical methods in inverse problems
14. Sharp Hardy-Littlewood-Sobolev Inequalities on Octonionic Heisenberg\n Group
    2014/07/12 by Michael Christ, Heping Liu, Christ, Michael +3 · 1 citation
    Mathematics · #Geometric and Algebraic Topology #Nonlinear Partial Differential Equations #Mathematical Analysis and Transform Methods
15. A sharpened Riesz-Sobolev inequality
    2017/06/06 by Michael Christ, Christ, Michael · 3 citations
    Mathematics · #Numerical methods in inverse problems #Nonlinear Partial Differential Equations #Advanced Harmonic Analysis Research