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Massachusetts Institute of Technology

A restriction estimate in R³

Abstract

dc:description.abstract

In this thesis, I proved a restriction estimate for paraboloid in R³ based on the polynomial partitioning method introduced by Larry Guth and the "two ends argument" introduced by Wolff and Tao.

Degree

thesis:*
Name thesis:degree_name
Doctoral
Department dc:contributor.department
Massachusetts Institute of Technology. Department of Mathematics
Grantor dc:publisher
Massachusetts Institute of Technology
Year dc:date.issued
2019

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Wang, Hong,Ph.D.Massachusetts Institute of Technology. Department of Mathematics.
Advisor dc:contributor.advisor
  • Larry Guth.

Subjects

dc:subject × 1

Rights

dc:rights
Statement dc:rights
  • MIT theses are protected by copyright. They may be viewed, downloaded, or printed from this source but further reproduction or distribution in any format is prohibited without written permission.
Language dc:language.iso
eng

Identifiers

dc:identifier.*
Handle dc:identifier.uri
https://hdl.handle.net/1721.1/122176
OAI identifier oai:identifier
oai:dspace.mit.edu:1721.1/122176

Chain of custody

source
Harvested from
MIT
Base URL
dspace.mit.edu/oai/request
Last updated
2026-07-22
Source record
OAI-PMH GetRecord
related terms
citation

Wang, Hong,Ph.D.Massachusetts Institute of Technology. Department of Mathematics.. A restriction estimate in R³. Massachusetts Institute of Technology, 2019. https://hdl.handle.net/1721.1/122176