Lectures on Elliptic Partial Differential Equations
by J.L. Lions
Publisher: Tata Institute of Fundamental Research 1957
ISBN/ASIN: B0007JLB4S
Number of pages: 121
Description:
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.
Download or read it online for free here:
Download link
(750KB, PDF)
Similar books
Lectures on Partial Differential Equationsby G.B. Folland - Tata Institute of Fundamental Research
The purpose of this course was to introduce students 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.
(7257 views)
Partial Differential Equations for Financeby Robert V. Kohn - New York University
An introduction to those aspects of partial differential equations and optimal control most relevant to finance: PDE’s naturally associated to diffusion processes, Kolmogorov equations and their applications, linear parabolic equations, etc.
(19808 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.
(9141 views)
Existence, multiplicity, perturbation, and concentration results for a class of quasi-linear elliptic problemsby Marco Squassina - Electronic Journal of Differential Equations
A survey of results about existence, multiplicity, perturbation from symmetry and concentration phenomena for a class of quasi-linear elliptic equations coming from functionals of the calculus of variations which turn out to be merely continuous.
(7111 views)