MATH584 PARTIAL DIFFERENTIAL EQUATIONS II
| Course Code: | 2360584 |
| METU Credit (Theoretical-Laboratory hours/week): | 3 (3.00 - 0.00) |
| ECTS Credit: | 8.0 |
| Department: | Mathematics |
| Language of Instruction: | English |
| Level of Study: | Graduate |
| Course Coordinator: | Prof.Dr. OKAY ÇELEBİ |
| Offered Semester: | Fall Semesters. |
Course Objectives
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.