**MP1 Analytic Methods in PDEs**

## Course syllabus

*The
main object of this course is to introduce several fundamental
techniques of analysis for the study of partial differential
equations. The topic will include Fourier analysis, distributions,
differential operators, (pseudo-differential operators). There will
be a review of Sobolev spaces, embedding theorems, potentials. [We
will apply it to study L2 properties, almost orthogonality, and the
regularity of wave (hyperbolic) equations as well as elliptic and
parabolic equations.]*

**Examples & Problem 2015**

**P.1
; P.2;
P.3;
P.4
; P.5;
P.6**

Hints&Solns2015

**Some Books**

Walter A. Strauss, Partial
Differential Equations: An Introduction

Gerald B. Folland, Introduction to
Partial Differential Equations

Lawrence C. Evans, Partial
Differential Equations

Fritz John, Partial Differential
Equations

Michael E. Taylor, Partial
Differential Equations

----------------------------------------------------------------------------

Gerald B. Folland, Fourier Analysis
and Its Applications

Elliott H. Lieb and Michael Loss,
*Analysis.*

**Links**

**Some Books & Lecture Notes On Line**

**G. Holzegel PDEs
Lecture Notes**

**G. Seregin **Functional
Analytic Methods for PDEs

**Terence
Tao Nonlinear
dispersive equations: local and global analysis**

**Others**

Analysis
& PDE