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.
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.
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.
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.