
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
Solving PDEs in Pythonby Hans Petter Langtangen, Anders Logg - Springer
This book offers a concise and gentle introduction to finite element programming in Python based on the popular FEniCS software library. Using a series of examples, it guides readers through the essential steps to quickly solving a PDE in FEniCS.
(9133 views)
Lectures on Periodic Homogenization of Elliptic Systemsby Zhongwei Shen - arXiv.org
In recent years considerable advances have been made in quantitative homogenization of PDEs in the periodic and non-periodic settings. This monograph surveys the theory of quantitative homogenization for second-order linear elliptic systems ...
(6970 views)
Nonlinear Partial Differential Equations of Elliptic Typeby Vicentiu Radulescu - arXiv
This textbook provides the background which is necessary to initiate work on a Ph.D. thesis in Applied Nonlinear Analysis. The purpose is to provide a broad perspective in the subject. The level is aimed at beginning graduate students.
(11653 views)
Existence, multiplicity, perturbation, and concentration results for a class of quasi-linear elliptic problemsby Marco Squassina - Electronic Journal of Differential Equations
A survey of results about existence, multiplicity, perturbation from symmetry and concentration phenomena for a class of quasi-linear elliptic equations coming from functionals of the calculus of variations which turn out to be merely continuous.
(11028 views)