Course Info

Instructor:	Prof. Lawrence D Guth
Course Number:	18.156
Departments:	Mathematics
As Taught In:	Spring 2016
Level:	Graduate

Topics

Mathematics

Differential Equations

Mathematical Analysis

Learning Resource Types

Problem Sets

Lecture Notes

Resources

Assignments

Differential Analysis II: Partial Differential Equations and Fourier Analysis, Optional Problems for Study and Review

Differential Analysis II: Partial Differential Equations and Fourier Analysis, Problem Set 1

Differential Analysis II: Partial Differential Equations and Fourier Analysis, Problem Set 2

Differential Analysis II: Partial Differential Equations and Fourier Analysis, Problem Set 3

Differential Analysis II: Partial Differential Equations and Fourier Analysis, Problem Set 4

Differential Analysis II: Partial Differential Equations and Fourier Analysis, Problem Set 5

Differential Analysis II: Partial Differential Equations and Fourier Analysis, Problem Set 6

Lecture Notes

Lecture 1-2 Harmonic Functions

Lecture 10-12 DiGeorgi-Nash-Moser Theorem

Lecture 13 Non-linear Elliptic PDE

Lecture 14 Comparison Principle for Nonlinear Equations

Lecture 15 Comparison Principle for Nonlinear Equations (cont.)

Lecture 16-17 Minimal Graphs

Lecture 20 Fourier Analysis

Lecture 21 Sierpinski Theorem

Lecture 22-24 Schr ̈odinger Equation

Lecture 25 Applications of Interpolation and Calderon-Zygmund Theorem

Course Info

Instructor:	Prof. Lawrence D Guth
Course Number:	18.156
Departments:	Mathematics
As Taught In:	Spring 2016
Level:	Graduate

Topics

Mathematics

Differential Equations

Mathematical Analysis

Learning Resource Types

Problem Sets

Lecture Notes