Lectures on Elliptic Partial Differential Equations
by J.L. Lions
Publisher: Tata Institute of Fundamental Research 1957
ISBN/ASIN: B0007JLB4S
Number of pages: 121
Description:
In these lectures we study the boundary value problems associated with elliptic equation by using essentially L2 estimates (or abstract analogues of such estimates). We consider only linear problem, and we do not study the Schauder estimates.
Download or read it online for free here:
Download link
(750KB, PDF)
Similar books
Introduction to the Method of Multiple Scalesby Per Jakobsen - arXiv
These lecture notes give an introduction to perturbation method with main focus on the method of multiple scales as it applies to pulse propagation in nonlinear optics. Aimed at students that have little or no background in perturbation methods.
(4352 views)
Linear Elliptic Equations of Second Orderby 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.
(5315 views)
Introduction to the Numerical Integration of PDEsby B. Piette - University of Durham
In these notes, we describe the design of a small C++ program which solves numerically the sine-Gordon equation. The program is build progressively to make it multipurpose and easy to modify to solve any system of partial differential equations.
(9876 views)
Spectral Theory of Partial Differential Equationsby Richard S. Laugesen - arXiv
This text aims at highlights of spectral theory for self-adjoint partial differential operators, with an emphasis on problems with discrete spectrum. The course aims to develop your mental map of spectral theory in partial differential equations.
(7088 views)