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Titlebook: Well-Posed Nonlinear Problems; A Study of Mathemati Mircea Sofonea Book 2023 The Editor(s) (if applicable) and The Author(s), under exclusi

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发表于 2025-3-21 16:04:01 | 显示全部楼层 |阅读模式
书目名称Well-Posed Nonlinear Problems
副标题A Study of Mathemati
编辑Mircea Sofonea
视频video
概述Presents an original method that unifies the mathematical theories of well-posed problems and contact mechanics.Offers a well-posedness theory in which every convergence result can be interpreted as a
丛书名称Advances in Mechanics and Mathematics
图书封面Titlebook: Well-Posed Nonlinear Problems; A Study of Mathemati Mircea Sofonea Book 2023 The Editor(s) (if applicable) and The Author(s), under exclusi
描述.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..
出版日期Book 2023
关键词Well-posed problem; Well-posed nonlinear problems; Well-posedness; Nonlinear problems; Fixed-point probl
版次1
doihttps://doi.org/10.1007/978-3-031-41416-9
isbn_softcover978-3-031-41418-3
isbn_ebook978-3-031-41416-9Series ISSN 1571-8689 Series E-ISSN 1876-9896
issn_series 1571-8689
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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发表于 2025-3-22 00:09:36 | 显示全部楼层
Inclusionshonov triples, together with several convergence results, including a convergence criterion. We extend a part of these results to a history-dependent inclusion. The proofs are based on the results obtained in Chap. ., in the study of fixed point problems. Finally, we consider a history-dependent var
发表于 2025-3-22 03:16:37 | 显示全部楼层
Minimization and Optimal Control Problemsg generalized well-posedness in the sense of Hadamard. Moreover, we show that, under strict and strong convexity assumptions, these results provide the weak and strong well-posedness of the corresponding problems. Next, we extend our study to optimal control problems for which we prove well-posednes
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Quasistatic Contact Problemson that gathers the corresponding equations, boundary, and initial conditions. Then we list the assumptions on the data and derive a variational formulation, which is either in the form of a fixed point problem, a Volterra-type integral equation, a history-dependent inclusion, or a history-dependent
发表于 2025-3-22 20:13:53 | 显示全部楼层
Book 2023cept 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.
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