Linear Elliptic Equations of Second Order
by Erich Miersemann
Publisher: Leipzig University 2012
Number of pages: 87
Description:
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.
Download or read it online for free here:
Download link
(490KB, PDF)
Similar books
Symmetry and Separation of Variablesby Willard Miller - Addison-Wesley
This volume is concerned with the relationship between symmetries of a linear second-order partial differential equation of mathematical physics and the coordinate systems in which the equation admits solutions via separation of variables.
(9117 views)
Mathematical Theory of Scattering Resonancesby Semyon Dyatlov, Maciej Zworski - MIT
Contents: Scattering resonances in dimension one; Resonances for potentials in odd dimensions; Black box scattering in Rn; The method of complex scaling; Perturbation theory for resonances; Resolvent estimates in semiclassical scattering; etc.
(9321 views)
An Introduction to D-Modulesby 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.
(8344 views)
An Introduction to Microlocal Analysisby Richard B. Melrose, Gunther Uhlmann - MIT
The origin of scattering theory is the study of quantum mechanical systems. The scattering theory for perturbations of the flat Laplacian is discussed with the approach via the solution of the Cauchy problem for the corresponding perturbed equation.
(9843 views)