Analysis of Partial Differential Equations

✍ Scribed by C. Warnick, ed. Dexter Chua

Publisher: University of Cambridge
Year: 2017
Tongue: English
Leaves: 66
Series: Cambridge Mathematical Tripos Part III Lecture Notes
Category: Library

No coin nor oath required. For personal study only.

✦ Table of Contents

Introduction
Basics of PDEs
The Cauchy–Kovalevskaya theorem
The Cauchy–Kovalevskaya theorem
Reduction to first-order systems
Function spaces
The Holder spaces
Sobolev spaces
Approximation of functions in Sobolev spaces
Extensions and traces
Sobolev inequalities
Elliptic boundary value problems
Existence of weak solutions
The Fredholm alternative
The spectrum of elliptic operators
Elliptic regularity
Hyperbolic equations
Index

✦ Subjects

maths; mathematics; math; advanced; college; university; higher; further; pure; applied; calculus; analysis; differential equations; ordinary; partial; ODEs; PDEs; integral; differential; integration; differentiation; single variable; multivariable; many variables; vector; tensor; one variable

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