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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

assignment Problem Sets
notes Lecture Notes
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Course Info
Differential Analysis II: Partial Differential Equations and Fourier Analysis
  • Syllabus

  • Calendar

  • Lecture Notes

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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

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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

assignment Problem Sets
notes Lecture Notes
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