Sobolev Spaces in Mathematics III

Name: Sobolev Spaces in Mathematics III
SKU: 11083338
Price: 408.99 AUD
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Applications in Mathematical Physics

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Paperback / softback

Series:

International Mathematical Series

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Description

Victor Isakov This volume contains various results on partial di?erential equations where Sobolev spaces are used. Their selection is motivated by the research int- ests of the editor and the geographicallinks to the places where S. L. Sobolev worked and lived: St. Petersburg, Moscow, and Novosibirsk. Most of the papers are written by leading experts in control theory and inverse pr- lems. Another reason for the selection is a strong link to applied areas. In my opinion, control theory and inverse problems are main areas of di?er- tial equations of importance for some branches of contemporary science and engineering. S. L. Sobolev, as many great mathematicians, was very much motivated by applications. He did not distinguished between pure and - plied mathematics, but, in his own words, between "good mathematics and bad mathematics. " While he possessed a brilliant analytical technique, he most valued innovative ideas, solutions of deep conceptual problems, and not mathematical decorations, perfecting exposition, and "generalizations. " S. L. Sobolev himself never published papers on inverse problems or c- trol theory, but he was very much aware of the state of art and he monitored research on inverse problems. In particular, in his lecture at a Conference on Di?erentialEquationsin1954(found inSobolev'sarchiveandmadeavailable to me by Alexander Bukhgeim), he outlined main inverse problems in g- physics:theinverseseismicproblem,theelectromagneticprospecting,andthe inverse problem of gravimetry.

Release date Australia

November 19th, 2010

Audience

Professional & Vocational

Contributor

Edited by Victor Isakov

Edition

Softcover reprint of hardcover 1st ed. 2009

Illustrations

XXXII, 336 p.

Pages

336

Series

International Mathematical Series

Dimensions

156x234x19

ISBN-13

9781441927590

Product ID

11083338

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