**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

**An Introduction to D-Modules**

by

**Jean-Pierre Schneiders**-

**Universite de Liege**

These notes introduce the reader to the algebraic theory of systems of partial differential equations on a complex analytic manifold. We start by explaining how to switch from the classical point of view to the point of view of algebraic analysis.

(

**8345**views)

**Lectures on Semi-group Theory and its Application to Cauchy's Problem in Partial Differential Equations**

by

**K. Yosida**-

**Tata Institute of Fundamental Research**

In these lectures, we shall be concerned with the differentiability and the representation of one-parameter semi-groups of bounded linear operators on a Banach space and their applications to the initial value problem for differential equations.

(

**10993**views)

**Exterior Differential Systems and Euler-Lagrange Partial Differential Equations**

by

**R. Bryant, P. Griffiths, D. Grossman**-

**University Of Chicago Press**

The authors present the results of their development of a theory of the geometry of differential equations, focusing especially on Lagrangians and Poincare-Cartan forms. They also cover certain aspects of the theory of exterior differential systems.

(

**16218**views)

**Partial Differential Equations: An Introduction**

by

**A.D.R. Choudary, Saima Parveen, Constantin Varsan**-

**arXiv**

This book encompasses both traditional and modern methods treating partial differential equation (PDE) of first order and second order. There is a balance in making a selfcontained mathematical text and introducing new subjects.

(

**13195**views)