### MATH 5430: Applied Analysis

**Description:** Convergence of Fourier series, Legendre and Hermite polynomials, existence and uniqueness theorems, two-point boundary value problems and Green's functions.

**Prerequisites:** MATH 5111 and 5140 are helpful but not required.

**Credits:** 3

### MATH 5430 - Section 1: Applied Analysis-Nonlinear Partial Differential Equations

**Description:** We will cover a number of topics on nonlinear partial differential equations. They include: 1) eigenvalue problems of second order uniformly elliptic equations; 2) eigenvalue problems of quasilinear elliptic equations such as p-Laplace equations; 3) sub-sup solution methods for fully nonlinear differential equations; 4) Nehari manifolds and applications to PDEs; 5) Schauder fixed point theorem and Leray-Schauder degree theory.

**Credits:** 3

**Sections: **Fall 2018 on Storrs Campus

PSCourseID | Course | Sec | Comp | Time | Room | Instructor |
---|---|---|---|---|---|---|

14304 | 5430 | 001 | Lecture | TuTh 11:00:00 AM-12:15:00 PM | MONT113 | Lu, Guozhen |