Well-Posed Nonlinear Problems: A Study of Mathematical Models of Contact
Mircea Sofonea
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.
Categories:
Year:
2023
Publisher:
Birkhäuser
Language:
english
Pages:
410
ISBN 10:
3031414152
ISBN 13:
9783031414152
File:
PDF, 13.52 MB
IPFS:
,
english, 2023