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Ebooks May 29, 2022 3

Ebook Details

Author
Marco Squassina
Publisher
Electronic Journal of Differential Equations 2006
The aim of this monograph is to present a comprehensive survey of results about existence, multiplicity, perturbation from symmetry and concentration
An Introduction to Microlocal Analysis by Richard B. Melrose, Gunther Uhlmann
 
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Ebooks May 29, 2022 4
One of the origins of scattering theory is the study of quantum mechanical systems, generally involving potentials. The scattering theory for perturbations of the flat Laplacian is discussed with the initial approach being via the solution of the Cauchy problem for the corresponding perturbed wave equation.
Techniques of Applied Mathematics by Andrew Fowler
 
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Ebooks May 29, 2022 4

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Author
Andrew Fowler
Publisher
University of Oxford 2005
This course develops mathematical techniques which are useful in solving 'real-world' problems involving differential equations, and is a development of ideas which arise in the second year differential equations course. The course embraces the ethos of mathematical modelling, and aims to show in a practical way how equations 'work',...
A First Course of Partial Differential Equations in Physical Sciences and Engineering by Marcel B. Finan
 
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Ebooks May 29, 2022 5

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Author
Marcel B. Finan
Publisher
Arkansas Tech University 2009
Partial differential equations are often used to construct models of the most basic theories underlying physics and engineering. The goal of this book is to develop the most basic ideas from the theory of partial differential equations, and apply them to the simplest models arising from the above mentioned...
Mathematical Physics II by Boris Dubrovin
 
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Ebooks May 28, 2022 2

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Author
Boris Dubrovin
Publisher
SISSA 2008
These are lecture notes on various topics in analytic theory of differential equations: Singular points of solutions to analytic differential equations; Monodromy of linear differential operators with rational coefficients.
Lectures on Differential Equations by Craig A. Tracy
 
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Ebooks May 28, 2022 2

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Author
Craig A. Tracy
Publisher
University of California 2011
From the table of contents: Pendulum and MatLab; First Order Equations; Second Order Linear Equations; Difference Equations; Matrix Differential Equations; Weighted String; Quantum Harmonic Oscillator; Laplace Transform, etc.
Lectures on Elliptic Partial Differential Equations by J.L. Lions
 
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Ebooks May 27, 2022 2

Ebook Details

Author
J.L. Lions
Publisher
Tata Institute of Fundamental Research 1957
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.
Lectures on Semi-group Theory and its Application to Cauchy's Problem in Partial Differential Equations by K. Yosida
 
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Ebooks May 27, 2022 4

Ebook Details

Author
K. Yosida
Publisher
Tata Institute of Fundamental Research 1957
In these lectures, we shall be concerned with the differentiability and the representation of one-parameter semi-groups of bounded linear operators on
Lectures on Exterior Differential Systems by M. Kuranishi
 
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Ebooks May 26, 2022 2

Ebook Details

Author
M. Kuranishi
Publisher
Tata Institute of Fundamental Research 1962
Contents: Parametrization of sets of integral submanifolds (Regular linear maps, Germs of submanifolds of a manifold); Exterior differential systems (Differential systems with independent variables); Prolongation of Exterior Differential Systems.
Nonlinear Partial Differential Equations of Elliptic Type by Vicentiu Radulescu
 
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Ebooks May 26, 2022 3

Ebook Details

Author
Vicentiu Radulescu
Publisher
arXiv 2005
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 
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