Math 649 Spring 2026

Course Information
Instructor: Sergey A. Dyachenko
sergeydy at buffalo.edu
Description: The Cauchy problem for partial differential equations, classification of second order linear partial differential equations,
properties of solutions for elliptic, parabolic and hyperbolic equations, existence of solutions for elliptic partial differential equations.
Topics from Fourier and Laplace transforms, potential theory, Green's functions, integral equations, Sobolev spaces, and Schwartz distributions.
TR 3:30-4:50
122 Math Bldg
Office Hours: Wednesday 3:00-4:00pm at Math Building 312 and by appointment
Textbook (Optional): Lawrence C. Evans, Partial Differential Equations
Walter A. Strauss, Partial Differential Equations, An Introduction, Second edition
Homework Assignments: Home Work
Exam Schedule: Exam 1: TBA
Exam 2: TBA
Exam 3: TBA

Grading:
A overall grade (A-F) for the class is accumulated from the scores of homeworks, the 2 midterm exams and the final exam.
The grade for the class is assigned at the end of the semester after the Final exam is graded, however you are welcome to
email me with questions about your current grade at any time during the semester to see how well you are doing.
All missing work (HWs/Exams) is awarded zero points, so be sure to turn-in on time. The written work is expected to be neat:
illegible work will not be graded. Answers to problems without supporting work or solution will receive no credit.
Homework: 25%
Exam 1: 25%
Exam 2: 25%
Exam 3: 25%

Homework Policy:
Homework should be turned in by 5pm on the due date. All homework must be stapled.
One lowest HW score is dropped. You are encouraged to cooperate while doing homework, but you are expected to complete
the homework on your own and to write the solutions in your own words, and not contain pieces taken verbatim from elsewhere.
HWs that look too much alike will not be counted. No late homework will be accepted.

Make-up Policy:
No make-up exam will be given unless you contact me in advance with written authorization from university to miss exam
(illness, family emergency, active participation in athletic events).