Logo

Introduction to Partial Differential Equations

Small book cover: Introduction to Partial Differential Equations

Introduction to Partial Differential Equations
by

Publisher: University of Oulu
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

Book cover: Entropy and Partial Differential EquationsEntropy and Partial Differential Equations
by - UC Berkeley
This course surveys various uses of 'entropy' concepts in the study of PDE, both linear and nonlinear. This is a mathematics course, the main concern is PDE and how various notions involving entropy have influenced our understanding of PDE.
(12829 views)
Book cover: Spectral Theory of Partial Differential EquationsSpectral Theory of Partial Differential Equations
by - 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.
(7870 views)
Book cover: Lectures on Elliptic Partial Differential EquationsLectures on Elliptic Partial Differential Equations
by - 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.
(8159 views)
Book cover: Mathematical Theory of Scattering ResonancesMathematical Theory of Scattering Resonances
by - 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.
(8407 views)