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: |
Prof.Dr. OKAY ÇELEBÝ |
| 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.
