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Book_Partial Differential Equations in Action - From Modelling to Theory (Universitext, Springer 2008).pdf

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Book_Partial Differential Equations in Action - From Modelling to Theory (Universitext, Springer 2008).pdf

文档介绍

文档介绍:To Anna, my wife
Sandro Salsa
Partial Differential
Equations in Action
From Modelling
to Theory
Sandro Salsa
Dipartimento di Matematica
ico di Milano
CIP-Code: 2007938891
ISBN 978-88-470-0751-2 Springer Milan Berlin Heidelberg New York
e-ISBN 978-88-470-0752-9
This work is subject to copyright. All rights are reserved, whether the whole or part of the
material is concerned, specifically the rights of translation, reprinting, reuse of illustrations,
recitation, broadcasting, reproduction on microfilms or in other ways, and storage in data banks.
Duplication of this publication or parts thereof is permitted only under the provisions of the
Italian Copyright Law in its current version, and permission for use must always ba obtained
from Springer. Violations are liable to prosecution under the Italian Copyright Law.
Springer is a part of Springer Science+Business Media
c Springer-Verlag Italia, Milano 2008
Printed in Italy
Cover-Design: Simona Colombo, Milan
A
Typesetting with LTEX: PTP-Berlin, Protago-TEX-Production GmbH, Germany
(.eu)
Printing and Binding: Grafiche Porpora , Segrate (MI)
987654321
Springer-Verlag Italia srl – Via Decembrio 28 – 20137 Milano-I
Preface
This book is designed as an advanced undergraduate or a first-year graduate course
for students from various disciplines like applied mathematics, physics, engineering.
It has evolved while teaching courses on partial differential equations (PDE) during
the last few years at the ico of Milan.
The main purpose of these courses was twofold: on the one hand, to train
the students to appreciate the interplay between theory and modelling in prob-
lems arising in the applied sciences, and on the other hand to give them a solid
theoretical background for numerical methods, such as finite elements.
Accordingly, this textbook is divided into two parts.
The first one, chapters 2 to 5, has a rather elementary character with the goal
of developing and studying basic problems f