This monograph presents an original method to unify the
mathematical theories of well-posed problems and contact mechanics.
The author uses a new concept called the Tykhonov triple to develop
a well-posedness theory in which every convergence result can be
interpreted as a well-posedness result. This will be useful for
studying a wide class of nonlinear problems, including fixed-point
problems, inequality problems, and optimal control problems.
Another unique feature of the manuscript is the unitary treatment
of mathematical models of contact, for which new variational
formulations and convergence results are presented. Well-Posed
Nonlinear Problems will be a valuable resource for PhD students and
researchers studying contact problems. It will also be accessible
to interested researchers in related fields, such as physics,
mechanics, engineering, and operations research.
General
Imprint: |
Birkhauser Verlag AG
|
Country of origin: |
Switzerland |
Series: |
Advances in Mechanics and Mathematics, 50 |
Release date: |
October 2023 |
First published: |
2023 |
Authors: |
Mircea Sofonea
|
Dimensions: |
235 x 155mm (L x W) |
Pages: |
280 |
Edition: |
1st ed. 2023 |
ISBN-13: |
978-3-03-141415-2 |
Categories: |
Books
|
LSN: |
3-03-141415-2 |
Barcode: |
9783031414152 |
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