LIBERO WebOPAC Catalogue Display (W561)

Catalogue Information
Field name	Details
Dewey Class	519.6
Dewey Class	515.64
Title	Well-Posed Nonlinear Problems (EBook :) : A Study of Mathematical Models of Contact / / by Mircea Sofonea.
Author	Sofonea, Mircea
Other name(s)	SpringerLink (Online service)
Edition statement	1st ed. 2023.
Publication	Cham : : Springer International Publishing : : Imprint: Birkhäuser, , 2023.
Physical Details	XVIII, 405 p. 15 illus., 1 illus. in color. : online resource.
Series	Advances in Mechanics and Mathematics 1876-9896 ; ; 50
ISBN	9783031414169
Summary Note	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.:
Contents note	Part I An Abstract Well-posedness Concept -- Nonlinear Problems and Their Solvability -- Tykhonov Triples and Associate Well-posedness Concept -- Part II Relevant Examples of Well-posed Problems -- Fixed Point Problems -- Variational Inequalities -- Variational-hemivariational Inequalities -- Inclusions and Sweeping Processes -- Optimal Control and Optimization -- Part III Well-posed Contact Problems -- Preliminaries of Contact Mechanics -- Well-posed Static Contact Problems. Well-posed Quasistatic Contact Problems.
Mode of acces to digital resource	Digital reproduction.-
	Cham :
	Springer International Publishing,
	2023. -
	Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	https://doi.org/10.1007/978-3-031-41416-9
Links to Related Works	Subject References: Calculus of variations . Calculus of Variations and Optimization . Differential Equations . Mathematical Modeling and Industrial Mathematics . Mathematical models . Mathematical optimization . Mechanics, Applied . Operator Theory . Solid Mechanics . Solids . Authors: author . Sofonea, Mircea . Corporate Authors: SpringerLink (Online service) . Series: Advances in Mechanics and Mathematics . Classification: 515.64 . 519.6 .

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Well-Posed Nonlinear Problems: A Study of Mathematical Models of Contact /

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