Uniqueness Theorems for Some Nonlinear Parabolic Equations

Title: Uniqueness Theorems for Some Nonlinear Parabolic Equations
Identifier: d_2009_2013:79d56e72a36a:11493
identifier: 11969
Creator: Chen, Yimao,
Contributor: Leon Karp
Date: 2012
Language: English
Publisher: City University of New York.
Subject: Mathematics
Abstract: We study the uniqueness of solutions of the Cauchy problem of two nonlinear parabolic equations in this thesis.;We first study the uniqueness of the solutions of the initial value problem associated with the infinity-Laplacian operators. We prove the uniqueness of solutions of the Cauchy problem for the infinity-Laplacian heat equation in a class of functions with exponential growth.;We also study the uniqueness of the solutions of the evolution associated with the minimal surface equation. We obtain a new uniqueness class of solutions of the Cauchy problem for the parabolic minimal surface equation, which is reminiscent of the classical results for the heat equation.
Type: dissertation
Source: 2009_2013.csv
degree: Ph.D.
Program: Mathematics