Harnack Inequalities: From Poincare Conjecture to Matrix Determinant

Fuzhen (Frank) Zhang

Harnack Inequalities: From Poincare Conjecture to Matrix Determinant

Fuzhen (Frank) Zhang

Department of Mathematics

Research output: Contribution to conference › Presentation

Abstract

With a brief survey on the Harnack inequalities in various forms in Functional Analysis, in Partial Differential Equations, and in Perelman’s solution of the Poincare Conjecture, we discuss the Harnack inequality in Linear Algebra and Matrix Analysis. We present an extension of Tung’s inequality of Harnack type and study the equality case.

Original language	American English
State	Published - Apr 5 2017
Event	Mathematics Colloquium Series, Nova Southeastern University - Nova Southeastern University, Fort Lauderdale, United States Duration: Mar 1 2009 → …

Conference

Conference	Mathematics Colloquium Series, Nova Southeastern University
Country/Territory	United States
City	Fort Lauderdale
Period	3/1/09 → …

Disciplines

Mathematics

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Harnack Inequalities From Poincare Conjecture to Matrix DeterminFinal published version, 924 KBLicense: CC BY

Cite this

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title = "Harnack Inequalities: From Poincare Conjecture to Matrix Determinant",

abstract = " With a brief survey on the Harnack inequalities in various forms in Functional Analysis, in Partial Differential Equations, and in Perelman{\textquoteright}s solution of the Poincare Conjecture, we discuss the Harnack inequality in Linear Algebra and Matrix Analysis. We present an extension of Tung{\textquoteright}s inequality of Harnack type and study the equality case.",

author = "Zhang, \{Fuzhen (Frank)\}",

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language = "American English",

note = " Mathematics Colloquium Series, Nova Southeastern University ; Conference date: 01-03-2009",

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AU - Zhang, Fuzhen (Frank)

PY - 2017/4/5

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N2 - With a brief survey on the Harnack inequalities in various forms in Functional Analysis, in Partial Differential Equations, and in Perelman’s solution of the Poincare Conjecture, we discuss the Harnack inequality in Linear Algebra and Matrix Analysis. We present an extension of Tung’s inequality of Harnack type and study the equality case.

AB - With a brief survey on the Harnack inequalities in various forms in Functional Analysis, in Partial Differential Equations, and in Perelman’s solution of the Poincare Conjecture, we discuss the Harnack inequality in Linear Algebra and Matrix Analysis. We present an extension of Tung’s inequality of Harnack type and study the equality case.

UR - https://nsuworks.nova.edu/mathematics_colloquium/ay_2016-2017/events/12

M3 - Presentation

T2 - Mathematics Colloquium Series, Nova Southeastern University

Y2 - 1 March 2009

ER -

Harnack Inequalities: From Poincare Conjecture to Matrix Determinant

Abstract

Conference

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