LEADER 04084nam 22008295 450 001 9910755079403321 005 20240703104203.0 010 $a3-031-41416-0 024 7 $a10.1007/978-3-031-41416-9 035 $a(MiAaPQ)EBC30830878 035 $a(Au-PeEL)EBL30830878 035 $a(DE-He213)978-3-031-41416-9 035 $a(PPN)272914282 035 $a(CKB)28572832700041 035 $a(EXLCZ)9928572832700041 100 $a20231027d2023 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aWell-Posed Nonlinear Problems $eA Study of Mathematical Models of Contact /$fby Mircea Sofonea 205 $a1st ed. 2023. 210 1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2023. 215 $a1 online resource (410 pages) 225 1 $aAdvances in Mechanics and Mathematics,$x1876-9896 ;$v50 311 08$aPrint version: Sofonea, Mircea Well-Posed Nonlinear Problems Cham : Springer International Publishing AG,c2023 9783031414152 327 $aPart 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. 330 $aThis monograph presents an original method to unify the mathematical theories of well-posed problems and contact mechanics. The author uses a new concept called the Tykhonov triple to develop a well-posedness theory in which every convergence result can be interpreted as a well-posedness result. This will be useful for studying a wide class of nonlinear problems, including fixed-point problems, inequality problems, and optimal control problems. Another unique feature of the manuscript is the unitary treatment of mathematical models of contact, for which new variational formulations and convergence results are presented. Well-Posed Nonlinear Problems will be a valuable resource for PhD students and researchers studying contact problems. It will also be accessible to interested researchers in related fields, such as physics, mechanics, engineering, and operations research. 410 0$aAdvances in Mechanics and Mathematics,$x1876-9896 ;$v50 606 $aMathematical optimization 606 $aCalculus of variations 606 $aMathematical models 606 $aOperator theory 606 $aMechanics, Applied 606 $aSolids 606 $aDifferential equations 606 $aCalculus of Variations and Optimization 606 $aMathematical Modeling and Industrial Mathematics 606 $aOperator Theory 606 $aSolid Mechanics 606 $aDifferential Equations 606 $aTeories no lineals$2thub 606 $aMecānica$2thub 606 $aModels matemātics$2thub 608 $aLlibres electrōnics$2thub 615 0$aMathematical optimization. 615 0$aCalculus of variations. 615 0$aMathematical models. 615 0$aOperator theory. 615 0$aMechanics, Applied. 615 0$aSolids. 615 0$aDifferential equations. 615 14$aCalculus of Variations and Optimization. 615 24$aMathematical Modeling and Industrial Mathematics. 615 24$aOperator Theory. 615 24$aSolid Mechanics. 615 24$aDifferential Equations. 615 7$aTeories no lineals 615 7$aMecānica 615 7$aModels matemātics 676 $a519.6 676 $a515.64 676 $a620.105 700 $aSofonea$b Mircea$059986 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910755079403321 996 $aWell-Posed Nonlinear Problems$93593999 997 $aUNINA