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Lecture Notes on Differential Analysis

Lecture Notes on Differential Analysis

Lecture Notes on Differential Analysis

The main goal of this course note is to give the students a solid foundation in the theory of elliptic and parabolic linear partial differential equations. It is the second semester of a two-semester, graduate-level sequence on Differential Analysis.

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Lecture Notes on Differential Analysis

Lecture Notes on Differential Analysis

The main goal of this course note is to give the students a solid foundation in the theory of elliptic and parabolic linear partial differential equations. It is the second semester of a two-semester, graduate-level sequence on Differential Analysis.

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Differential Analysis

Differential Analysis

This lecture note covers the following topics: fundamental solutions for elliptic, hyperbolic and parabolic differential operators, method of characteristics, review of Lebesgue integration, distributions, fourier transform, homogeneous distributions, asymptotic methods.

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Differential Analysis Lecture Notes, Spring 2004

Differential Analysis Lecture Notes, Spring 2004

Currently this section contains no detailed description for the page, will update this page soon.

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Nonlinear Analysis and Differential Equations An Introduction

Nonlinear Analysis and Differential Equations An Introduction

This lecture note covers the following topics: Analysis In Banach Spaces, The Method of Lyapunov Schmidt, Degree Theory, Global Solution Theorems, Existence and Uniqueness Theorems, Linear Ordinary Differential Equations, Periodic Solutions, Stability Theory, Invariant Sets, Hopf Bifurcation and Sturm-Liouville Boundary Value Problems.

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