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Teoria Delle Distribuzioni - Lectures Given at a Summer School of the Centro Internazionale Matematico Estivo (C.I.M.E.) Held in Saltino (Firenza), Italy, September 1-9, 1961 (English, French, Paperback, Reprint of the 1st ed. C.I.M.E., Ed. Cremonese, Roma, 1961.)
Enrico Magenes, Guido Stampacchia
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R1,441
Discovery Miles 14 410
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Ships in 10 - 15 working days
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Lectures: B. Malgrange: Operatori differenziali.- J. Mikusinski:
Une introduction elementaire a la theorie des distributions de
plusieurs variables.- L. Schwartz: I. Trasformata di Fourier delle
distribuzioni; II. Spazi di Hilbert e nuclei associati.- Seminars:
J.B. Diaz: Solutions of the singular Cauchy problem for a singular
system of partial differential equations in the mathematical theory
of dynamical elasticity.- J. Gobert: Un cas critique du probleme de
Dirichlet-Neumann.- J.L. Lions: Espaces dinterpolation. Espaces de
moyenne.- J. Sebastiao e Silva: Sur laxiomatique des distributions
et ses possibles modeles.- S. Zaidman: Distribuzioni
quasi-periodiche e applicazioni.
C. Baiocchi: Problemes a frontiere libre lies a des questions d
hydraulique.- Ch. Castaing: Integrales convexes duales.- G. Duvaut:
Etude de problemes unilateraux en mecanique par des methodes
variationnelles.- D. Kinderlehrer: Remarks about the free
boundaries occurring in variational inequalities.- H. Lanchon:
Torsion elastoplastique d arbres cylindriques: problemes ouverts.-
J.M. Lasry: Dualite en calcul des variations.- J.J. Moreau: On
unilateral constraints, friction and plasticity.- B. Nayroles:
Point de vue algebrique. Convexite et integrantes convexes en
mecanique des solides.- W. Noll: On certain convex sets of measures
and phases of reacting mixtures.- W. Velte: On complementary
variational inequalities.
During the fifties, one of the authors, G. Stampacchia, had
prepared some lecture notes on ordinary differential equations for
a course in ad analysis. These remained for a long time unused
because he was no vanced longer very interested in the study of
such equations. We now see, though, that numerous applications to
biology, chemistry, economics, and medicine have recently been
added to the traditional ones in mechanics; also, there has been in
these last years a reemergence of interest in nonlinear analy sis,
of which the theory of ordinary differential euqations is one of
the principal sources of methods and problems. Hence the idea to
write a book. Our text, based on the old notes and experience
gained in many courses, seminars, and conferences, both in Italy
and abroad, aims to give a simple and rapid introduction to the
various themes, problems, and methods of the theory of ordinary
differential equations. The book has been conceived in such a way
so that even the reader who has merely had a first course in
calculus may be able to study it and to obtain a panoramic vision
of the theory. We have tried to avoid abstract formalism,
preferring instead a discursive style, which should make the book
accessible to engineers and physicists without specific preparation
in modern mathematics. For students of mathematics, it pro vides
motivation for the subject of more advanced analysis courses."
This unabridged republication of the 1980 text, an established
classic in the field, is a resource for many important topics in
elliptic equations and systems and is the first modern treatment of
free boundary problems. Variational inequalities (equilibrium or
evolution problems typically with convex constraints) are carefully
explained in An Introduction to Variational Inequalities and Their
Applications. They are shown to be extremely useful across a wide
variety of subjects, ranging from linear programming to free
boundary problems in partial differential equations. Exciting new
areas like finance and phase transformations along with more
historical ones like contact problems have begun to rely on
variational inequalities, making this book a necessity once again.
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