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16:640:518 - Partial Differential Equations II

Spring 2027

Dennis Kriventsov

Subtitle:

Course Description:

We will cover regularity theory for elliptic and parabolic equations, various approaches to existence and uniqueness, and basic estimates for dispersive equations. Other topics will be determined by student interest.

Textbook:

none

Prerequisites:

517

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Spring 2021

Dennis Kriventsov

Course Description:

This course is a continuation of 517, PDE I. The goal of this semester is to consider a variety of equations studied today, and look at various techniques being applied to them. We will review Sobolev spaces, spend time on various methods for elliptic regularity (including Calderon-Zygmund theory), and discuss various notions of weak and viscosity solutions. We will also consider methods in the calculus of variations and dispersive equations. The specific topics and equations covered will depend heavily on student interest.

Text:

None

Prerequisites:

501, 502, 517 or equivalent strongly recommended; 507 helpful.

 

Schedule of Sections:

16:640:518 Schedule of Classes

 

Previous Semesters: