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
Exterior Differential Systems and Euler-Lagrange Partial Differential Equationsby 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.
(13773 views)
A First Course of Partial Differential Equations in Physical Sciences and Engineeringby Marcel B. Finan - Arkansas Tech University
Partial differential equations are often used to construct models of the most basic theories underlying physics and engineering. This book develops the basic ideas from the theory of partial differential equations, and applies them to simple models.
(9690 views)
Partial Differential Equations with Mapleby Robert Piche, Keijo Ruohonen - Tampere University of Technology
The course presents the basic theory and solution techniques for the partial differential equation problems most commonly encountered in science. The student is assumed to know something about linear algebra and ordinary differential equations.
(6551 views)
Pseudodifferential Operators and Nonlinear PDEby Michael E. Taylor - Birkhäuser Boston
Since the 1980s, the theory of pseudodifferential operators has yielded many significant results in nonlinear PDE. This monograph is devoted to a summary and reconsideration of some uses of this important tool in nonlinear PDE.
(8464 views)