**Spectral Theory of Partial Differential Equations**

by Richard S. Laugesen

**Publisher**: arXiv 2012**Number of pages**: 120

**Description**:

This mini-course of 20 lectures aims at highlights of spectral theory for self-adjoint partial differential operators, with a heavy emphasis on problems with discrete spectrum. The course aims to develop your mental map of spectral theory in partial differential equations.

Download or read it online for free here:

**Download link**

(2.5MB, PDF)

## Similar books

**The Place of Partial Differential Equations in Mathematical Physics**

by

**Ganesh Prasad**-

**Patna University**

The reason for my choosing the partial differential equations as the subject for these lectures is my wish to inspire in my audience a love for Mathematics. I give a brief historical account of the application of Mathematics to natural phenomena.

(

**6689**views)

**Linear Partial Differential Equations and Fourier Theory**

by

**Marcus Pivato**-

**Cambridge University Press**

Textbook for an introductory course on linear partial differential equations and boundary value problems. It also provides introduction to basic Fourier analysis and functional analysis. Written for third-year undergraduates in mathematical sciences.

(

**28798**views)

**Linear Elliptic Equations of Second Order**

by

**Erich Miersemann**-

**Leipzig University**

These lecture notes are intended as an introduction to linear second order elliptic partial differential equations. From the table of contents: Potential theory; Perron's method; Maximum principles; A discrete maximum principle.

(

**8772**views)

**An Introduction to Partial Differential Equations**

by

**Per Kristen Jakobsen**-

**arXiv.org**

These lecture notes view the subject through the lens of applied mathematics. The physical context for basic equations like the heat equation, the wave equation and the Laplace equation are introduced early on, and the focus is on methods.

(

**4904**views)