Terence Tao (1944–2020)
نویسندگان
چکیده
منابع مشابه
ENDPOINT STRICHARTZ ESTIMATES By MARKUS KEEL and TERENCE TAO
We prove an abstract Strichartz estimate, which implies previously unknown endpoint Strichartz estimates for the wave equation (in dimension n 4) and the Schrödinger equation (in dimension n 3). Three other applications are discussed: local existence for a nonlinear wave equation; and Strichartz-type estimates for more general dispersive equations and for the kinetic transport equation.
متن کاملStability of Energy-critical Nonlinear Schrödinger Equations in High Dimensions Terence Tao and Monica Visan
We develop the existence, uniqueness, continuity, stability, and scattering theory for energy-critical nonlinear Schrödinger equations in dimensions n ≥ 3, for solutions which have large, but finite, energy and large, but finite, Strichartz norms. For dimensions n ≤ 6, this theory is a standard extension of the small data well-posedness theory based on iteration in Strichartz spaces. However, i...
متن کاملTerence Tao Global Existence and Uniqueness Results for Weak Solutions of the Focusing Mass-critical Nonlinear Schrödinger Equation
We consider the focusing mass-critical NLS iu t + u = −|u| 4/d u in high dimensions d ≥ 4, with initial data u(0) = u 0 having finite mass M(u 0) = ޒ d |u 0 (x)| 2 d x < ∞. It is well known that this problem admits unique (but not global) strong solutions in the Strichartz class C 0 t,loc L 2 x ∩ L 2 t,loc L 2d/(d−2) x , and also admits global (but not unique) weak solutions in L ∞ t L 2 x. I...
متن کاملThe Inverse Conjecture for the Gowers Norm over Finite Fields via the Correspondence Principle Terence Tao and Tamar Ziegler
The inverse conjecture for the Gowers norms U(V ) for finite-dimensional vector spaces V over a finite field F asserts, roughly speaking, that a bounded function f has large Gowers norm ‖f‖Ud(V ) if and only if it correlates with a phase polynomial φ = eF(P ) of degree at most d− 1, thus P : V → F is a polynomial of degree at most d− 1. In this paper, we develop a variant of the Furstenberg cor...
متن کاملREJOINDER: THE DANTZIG SELECTOR: STATISTICAL ESTIMATION WHEN p IS MUCH LARGER THAN n BY EMMANUEL CANDÈS AND TERENCE TAO
First of all, we would like to thank all the discussants for their interest and comments, as well as for their thorough investigation. The comments all underlie the importance and timeliness of the topics discussed in our paper, namely, accurate statistical estimation in high dimensions. We would also like to thank the editors for this opportunity to comment briefly on a few issues raised in th...
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ژورنال
عنوان ژورنال: Journal of Muscle Research and Cell Motility
سال: 2020
ISSN: 0142-4319,1573-2657
DOI: 10.1007/s10974-020-09581-8