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Variational Inequalities and Frictional Contact Problems

Posted By: AvaxGenius
Variational Inequalities and Frictional Contact Problems

Variational Inequalities and Frictional Contact Problems by Anca Capatina
English | PDF (True) | 2014 | 242 Pages | ISBN : 3319101625 | 2.1 MB

Variational Inequalities and Frictional Contact Problems contains a carefully selected collection of results on elliptic and evolutionary quasi-variational inequalities including existence, uniqueness, regularity, dual formulations, numerical approximations and error estimates ones. By using a wide range of methods and arguments, the results are presented in a constructive way, with clarity and well justified proofs. This approach makes the subjects accessible to mathematicians and applied mathematicians. Moreover, this part of the book can be used as an excellent background for the investigation of more general classes of variational inequalities. The abstract variational inequalities considered in this book cover the variational formulations of many static and quasi-static contact problems. Based on these abstract results, in the last part of the book, certain static and quasi-static frictional contact problems in elasticity are studied in an almost exhaustive way.

Functional Analysis: An Introduction to Banach Space Theory

Posted By: AvaxGenius
Functional Analysis: An Introduction to Banach Space Theory

Functional Analysis: An Introduction to Banach Space Theory by Terry J. Morrison
English | PDF | 2000 | 370 Pages | ISBN : 0471372145 | 17.6 MB

A powerful introduction to one of the most active areas of theoretical and applied mathematics.

Non-Archimedean Operator Theory (Repost)

Posted By: AvaxGenius
Non-Archimedean Operator Theory (Repost)

Non-Archimedean Operator Theory by Toka Diagana
English | PDF,EPUB | 2016 | 163 Pages | ISBN : 3319273221 | 4.45 MB

This book focuses on the theory of linear operators on non-Archimedean Banach spaces. The topics treated in this book range from a basic introduction to non-Archimedean valued fields, free non-Archimedean Banach spaces, bounded and unbounded linear operators in the non-Archimedean setting, to the spectral theory for some classes of linear operators. The theory of Fredholm operators is emphasized and used as an important tool in the study of the spectral theory of non-Archimedean operators. Explicit descriptions of the spectra of some operators are worked out. Moreover, detailed background materials on non-Archimedean valued fields and free non-Archimedean Banach spaces are included for completeness and for reference.