Nonlinear Partial Differential Equations of Elliptic Type
by Vicentiu Radulescu
Publisher: arXiv 2005
Number of pages: 114
Description:
The goal of this textbook is to provide the background which is necessary to initiate work on a Ph.D. thesis in Applied Nonlinear Analysis. The purpose is to provide for the student a broad perspective in the subject, to illustrate the rich variety of phenomena encompassed by it and to impart a working knowledge of the most important techniques of analysis of the solutions of the equations.
Download or read it online for free here:
Download link
(830KB, PDF)
Similar books
Linear Elliptic Equations of Second Order
by Erich Miersemann - Leipzig University
These lecture notes are intended as an introduction to linear second order elliptic partial differential equations. From the table of contents: Potential theory; Perron's method; Maximum principles; A discrete maximum principle.
(8636 views)
by Erich Miersemann - Leipzig University
These lecture notes are intended as an introduction to linear second order elliptic partial differential equations. From the table of contents: Potential theory; Perron's method; Maximum principles; A discrete maximum principle.
(8636 views)
An Introduction to Microlocal Analysis
by 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.
(10945 views)
by 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.
(10945 views)
Lectures on Cauchy Problem
by Sigeru Mizohata - Tata Institute of Fundamental Research
A Cauchy problem in mathematics asks for the solution of a partial differential equation that satisfies certain conditions which are given on a hypersurface in the domain. Cauchy problems are an extension of initial value problems.
(9670 views)
by Sigeru Mizohata - Tata Institute of Fundamental Research
A Cauchy problem in mathematics asks for the solution of a partial differential equation that satisfies certain conditions which are given on a hypersurface in the domain. Cauchy problems are an extension of initial value problems.
(9670 views)
Hilbert Space Methods for Partial Differential Equations
by R. E. Showalter - Pitman
Written for beginning graduate students of mathematics, engineering, and the physical sciences. It covers elements of Hilbert space, distributions and Sobolev spaces, boundary value problems, first order evolution equations, etc.
(16125 views)
by R. E. Showalter - Pitman
Written for beginning graduate students of mathematics, engineering, and the physical sciences. It covers elements of Hilbert space, distributions and Sobolev spaces, boundary value problems, first order evolution equations, etc.
(16125 views)