Recent Developments in Well-Posed Variational Problems

Language: English

Published by Springer Netherlands, Springer Netherlands, 1995

0792335767 / 9780792335764

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Druck auf Anfrage Neuware - Printed after ordering - This volume contains several surveys focused on the ideas of approximate solutions, well-posedness and stability of problems in scalar and vector optimization, game theory and calculus of variations. These concepts are of particular interest in many fields of mathematics. The idea of stability goes back at least to J. Hadamard who introduced it in the setting of differential equations; the concept of well-posedness for minimum problems is more recent (the mid-sixties) and originates with A.N. Tykhonov. It turns out that there are connections between the two properties in the sense that a well-posed problem which, at least in principle, is 'easy to solve', has a solution set that does not vary too much under perturbation of the data of the problem, i.e. it is 'stable'. These themes have been studied in depth for minimum problems and now we have a general picture of the related phenomena in this case. But, of course, the same concepts can be studied in other more complicated situations as, e.g. vector optimization, game theory and variational inequalities. Let us mention that in several of these new areas there is not even a unique idea of what should be called approximate solution, and the latter is at the basis of the definition of well posed problem.

Seller Inventory # 9780792335764

Title
Recent Developments in Well-Posed Variational Problems
Author
Julian Revalski
Publisher
Springer Netherlands, Springer Netherlands
Publication year
1995
Condition
Neu
Binding
Buch
Language
English
ISBN 10
0792335767
ISBN 13
9780792335764
Item weight
588 grams
Dimensions
241x160x20 mm

AHA-BUCH GmbH

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