03054nam0 2200481 i 450 VAN0012529920260624032303.83N9783319128290159150139620191106d2015 |0itac50 baengCH|||| |||||i e bcrˆAn ‰Introduction To Viscosity Solutions for Fully Nonlinear PDE with Applications to Calculus of Variations in L∞Nikos KatzourakisChamSpringer2015xii, 123 p.ill.24 cmThe purpose of this book is to give a quick and elementary, yet rigorous, presentation of the rudiments of the so-called theory of Viscosity Solutions which applies to fully nonlinear 1st and 2nd order Partial Differential Equations (PDE). For such equations, particularly for 2nd order ones, solutions generally are non-smooth and standard approaches in order to define a "weak solution" do not apply: classical, strong almost everywhere, weak, measure-valued and distributional solutions either do not exist or may not even be defined. The main reason for the latter failure is that, the standard idea of using "integration-by-parts" in order to pass derivatives to smooth test functions by duality, is not available for non-divergence structure PDE.001VAN001025962001 SpringerBriefs in mathematics210 Berlin [etc.]Springer2011-VAN00234869ˆAn ‰Introduction To Viscosity Solutions for Fully Nonlinear PDE with Applications to Calculus of Variations in L∞156483635-XXPartial differential equations [MSC 2020]VANC019763MF35D40Viscosity solutions to PDEs [MSC 2020]VANC031228MF49-XXCalculus of variations and optimal control; optimization [MSC 2020]VANC019757MF49K20Optimality conditions for problems involving partial differential equations [MSC 2020]VANC021534MFCalculus of VariationsKW:KElliptic partial differential equationsKW:KGame TheoryKW:KGeometric evolutionKW:KPartial differential equationsKW:KViscosity solutionsKW:KCHChamVANL001889KatzourakisNikosVANV096741768293Springer <editore>VANV108073650ITSOL20260911RICAhttp://doi.org/10.1007/978-3-319-12829-0E-book – Accesso al full-text attraverso riconoscimento IP di Ateneo, proxy e/o ShibbolethBIBLIOTECA DEL DIPARTIMENTO DI MATEMATICA E FISICAIT-CE0120VAN08NVAN00125299BIBLIOTECA DEL DIPARTIMENTO DI MATEMATICA E FISICA08DLOAD e-book 0085 08eMF85 20191106 Introduction To Viscosity Solutions for Fully Nonlinear PDE with Applications to Calculus of Variations in L∞1564836UNICAMPANIA