MATH584 PARTIAL DIFFERENTIAL EQUATIONS II
| Course Code: |
2360584 |
| METU Credit (Theoretical-Laboratory hours/week): |
3(3-0) |
| ECTS Credit: |
8.0 |
| Department: |
Mathematics |
| Language of Instruction: |
English |
| Level of Study: |
Graduate |
| Course Coordinator: |
|
| Offered Semester: |
Fall Semesters. |
Course Content
Sobolev spaces: Weak Derivatives, Approximation by Smooth functions, Extentions, Traces, Sobolev Inequalities, The Space H^-1. Second-order Elliptic Equations: Weak Solutions, Lax-Milgram Teorem, Energy estimates, Fredholm Alternative, Regularity, Maximum Principles, Eigenvalues and Eigenfunctions. Linear Evolution Equations: Second-order Parabolic equations, (Weak solutions, Regularity, Maximum principle), Second-order Hyperbolic Equations (Weak Solutions, Regularity, Propagation of disturbances), Hyperbolic Systems of First-order Equations, Semigroup theory.
