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Lecture Note for Differential Analysis
This note contains the following subcategories, Continuous Functions , Measures and algebras , Measureability of Functions, Integration, Hilbert Space, Test Functions, Tempered Distributions , Convolution and Density, Fourier Inversion, Sobolev Embedding , Differential Operators , Cone Support and Wavefront Set, Homogeneous Distributions and Spectral Theorem.
Author(s): Richard B Melrose
NA Pages 
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.
Author(s): Prof. Jeff Viaclovsky
NA Pages
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.
Author(s): Prof. Richard Melrose
NA Pages
Differential Analysis Lecture Notes, Spring 2004
We are working on the detailed description of this book, we will update this section soon.
Author(s): NA
NA Pages
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.
Author(s): Klaus Schmitt and Russell C. Thompson
158 Pages