Maths 222B: Partial Differential Equations, Spring 2021

TuTh 11 AM -- 12:30 PM ZOOM



Professor  Maciej Zworski
email: zworski@math.berkeley.edu
Office: 801 Evans Hall
Office hours: TT 1 PM - 2 PM, or by appointment

Prerequisites: Math 222A

Textbooks:
  1. Lawrence C. Evans, Partial Differential Equations
  2. Alain Grigis and Johannes Sjöstrand, Microlocal Analysis for Differential Operators
  3. Lars Hömander, The Analysis of Linear Partial Differential Equations I, (for review of the material from 222A)

    Syllabus:

    1. Sobolev spaces, Gagliardo--Nirenberg--Sobolev and Morrey inequalties, Schauder estimates
    2. Calculus of variations, applications of Sobolev space techniques, De Giorgi-Nash-Moser Theorem
    3. Oscillatory integrals
    4. Pseudodifferential operators
    5. Cauchy problem for hyperbolic equations via energy estimates
    6. Parametrix construction for hyperbolic equations and applications.