01368nam0 22002893i 450 VAN025790020230508080945.923N978-3-030-96855-720230508d2022 |0itac50 baengCH|||| |||||ˆThe ‰Precambrian Geology of LithuaniaAn Integratory Study of the Platform Basement Structure and EvolutionGediminas MotuzaChamSpringer2022XVI, 203 p.ill.24 cm001VAN02372552001 Regional Geology Reviews210 ChamSpringer2013-CHChamVANL001889MotuzaGediminasVANV2116651264644Springer <editore>VANV108073650ITSOL20240614RICAhttps://link.springer.com/book/10.1007/978-3-030-96855-7E-book - Accesso al full-text attraverso riconoscimento IP di Ateneo, proxy e/o ShibbolethBIBLIOTECA DEL DIPARTIMENTO DI SCIENZE E TECNOLOGIE AMBIENTALI BIOLOGICHE E FARMACEUTICHEIT-CE0101VAN17NVAN0257900BIBLIOTECA DEL DIPARTIMENTO DI SCIENZE E TECNOLOGIE AMBIENTALI BIOLOGICHE E FARMACEUTICHE17CONS e-book 2307 17BIB2307/546 546 20230508 BuonoPrecambrian Geology of Lithuania3090902UNICAMPANIA03690nam0 22005173i 450 VAN0026900920260703105825.339N978146123736579919140220231219d1988 |0itac50 baengUS|||| |||||i e bcrBoundary value problems of finite elasticitylocal theorems on existence, uniqueness, and analytic dependence on dataTullio ValentNew YorkSpringer1988xii, 191 p.25 cmIn this book I present, in a systematic form, some local theorems on existence, uniqueness, and analytic dependence on the load, which I have recently obtained for some types of boundary value problems of finite elasticity. Actually, these results concern an n-dimensional (n ~ 1) formal generalization of three-dimensional elasticity. Such a generalization, be­ sides being quite spontaneous, allows us to consider a great many inter­ esting mathematical situations, and sometimes allows us to clarify certain aspects of the three-dimensional case. Part of the matter presented is unpublished; other arguments have been only partially published and in lesser generality. Note that I concentrate on simultaneous local existence and uniqueness; thus, I do not deal with the more general theory of exis­ tence. Moreover, I restrict my discussion to compressible elastic bodies and I do not treat unilateral problems. The clever use of the inverse function theorem in finite elasticity made by STOPPELLI [1954, 1957a, 1957b], in order to obtain local existence and uniqueness for the traction problem in hyperelasticity under dead loads, inspired many of the ideas which led to this monograph. Chapter I aims to give a very brief introduction to some general concepts in the mathematical theory of elasticity, in order to show how the boundary value problems studied in the sequel arise. Chapter II is very technical; it supplies the framework for all sub­ sequent developments.001VAN000484302001 Springer tracts in natural philosophy210 Berlin [etc.]Springer1964-1998.31VAN00302674Boundary value problems of finite elasticity34790634BxxBoundary value problems for ordinary differential equations [MSC 2020]VANC023485MF35B30Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs [MSC 2020]VANC028997MF74-XXMechanics of deformable solids [MSC 2020]VANC022466MF74B20Nonlinear elasticity [MSC 2020]VANC021528MFBanach spacesKW:KDeformationKW:KDevelopmentKW:KElasticityKW:KElastostaticsKW:KImplicit functionsKW:KMaterialsKW:KMeasureKW:KStaticsKW:KUSNew YorkVANL000011ValentTullioVANV03919941059Springer <editore>VANV108073650ITSOL20260911RICAhttps://doi.org/10.1007/978-1-4612-3736-5E-book – Accesso al full-text attraverso riconoscimento IP di Ateneo, proxy e/o ShibbolethBIBLIOTECA DEL DIPARTIMENTO DI MATEMATICA E FISICAIT-CE0120VAN08NVAN00269009BIBLIOTECA DEL DIPARTIMENTO DI MATEMATICA E FISICA08DLOAD e-book 7873 08eMF7873 20231220 Boundary Value Problems of Finite Elasticity347906UNICAMPANIA