Introduction to Partial Differential Equations
by Valeriy Serov
Publisher: University of Oulu 2011
Number of pages: 122
Description:
Contents: Preliminaries; Local Existence Theory; Fourier Series; One-dimensional Heat Equation; One-dimensional Wave Equation; Laplace Equation in Rectangle and in Disk; The Laplace Operator; The Dirichlet and Neumann Problems; Layer Potentials; The Heat Operator; The Wave Operator.
Download or read it online for free here:
Download link
(790KB, PDF)
Similar books
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.
(7166 views)
The Place of Partial Differential Equations in Mathematical Physicsby 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.
(2836 views)
Lectures on Elliptic Partial Differential Equationsby J.L. Lions - Tata Institute of Fundamental Research
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.
(6793 views)
An Introduction to Partial Differential Equationsby 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.
(1458 views)