Lectures on Partial Differential Equations

Large book cover: Lectures on Partial Differential Equations

Lectures on Partial Differential Equations

Publisher: Tata Institute of Fundamental Research
ISBN/ASIN: 354012280X
Number of pages: 145

The purpose of the course was to introduce the students in the Programme in Application of Mathematics to the applications of Fourier analysis -- by which I mean the study of convolution operators as well as the Fourier transform itself -- to partial differential equations.

Download or read it online for free here:
Download link
(670KB, PDF)

Similar books

Book cover: Lectures on Periodic Homogenization of Elliptic SystemsLectures on Periodic Homogenization of Elliptic Systems
by - arXiv.org
In recent years considerable advances have been made in quantitative homogenization of PDEs in the periodic and non-periodic settings. This monograph surveys the theory of quantitative homogenization for second-order linear elliptic systems ...
Book cover: Introduction to Partial Differential EquationsIntroduction to Partial Differential Equations
by - University of Oulu
Contents: Preliminaries; Local Existence Theory; Fourier Series; One-dimensional Heat Equation; One-dimensional Wave Equation; Laplace Equation; Laplace Operator; Dirichlet and Neumann Problems; Layer Potentials; The Heat Operator; The Wave Operator.
Book cover: Nonlinear Partial Differential Equations of Elliptic TypeNonlinear Partial Differential Equations of Elliptic Type
by - arXiv
This textbook provides the background which is necessary to initiate work on a Ph.D. thesis in Applied Nonlinear Analysis. The purpose is to provide a broad perspective in the subject. The level is aimed at beginning graduate students.
Book cover: Finite Difference Computing with PDEsFinite Difference Computing with PDEs
by - Springer
This easy-to-read book introduces the basics of solving partial differential equations by means of finite difference methods. Unlike many of the traditional academic works on the topic, this book was written for practitioners.