LEADER 03551nam 22006975 450 001 9910483566803321 005 20251126130411.0 010 $a3-030-67159-3 024 7 $a10.1007/978-3-030-67159-4 035 $a(CKB)4100000011751958 035 $a(DE-He213)978-3-030-67159-4 035 $a(MiAaPQ)EBC6476005 035 $a(PPN)253862116 035 $a(EXLCZ)994100000011751958 100 $a20210208d2021 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aDistribution Theory Applied to Differential Equations /$fby Adina Chiril?, Marin Marin, Andreas Öchsner 205 $a1st ed. 2021. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2021. 215 $a1 online resource (VIII, 276 p. 1 illus.) 300 $aIncludes index. 311 08$a3-030-67158-5 327 $aIntroduction -- Preliminaries -- Convex and Lower-semicontinuous Functions -- The Subdifferential of a Convex Function -- Evolution Equations -- Distributions -- Tempered Distributions -- Differential Equations in Distributions -- Sobolev Spaces -- Variational Problems -- On Some Spaces of Distributions -- On Some Di?erential Operators. 330 $aThis book presents important contributions to modern theories concerning the distribution theory applied to convex analysis (convex functions, functions of lower semicontinuity, the subdifferential of a convex function). The authors prove several basic results in distribution theory and present ordinary differential equations and partial differential equations by providing generalized solutions. In addition, the book deals with Sobolev spaces, which presents aspects related to variation problems, such as the Stokes system, the elasticity system and the plate equation. The authors also include approximate formulations of variation problems, such as the Galerkin method or the finite element method. The book is accessible to all scientists, and it is especially useful for those who use mathematics to solve engineering and physics problems. The authors have avoided concepts and results contained in other books in order to keep the book comprehensive. Furthermore, they do not present concrete simplified models and pay maximal attention to scientific rigor. 606 $aDistribution (Probability theory) 606 $aConvex geometry 606 $aDiscrete geometry 606 $aPhysics 606 $aMechanics, Applied 606 $aDifferential equations 606 $aDistribution Theory 606 $aConvex and Discrete Geometry 606 $aClassical and Continuum Physics 606 $aEngineering Mechanics 606 $aDifferential Equations 615 0$aDistribution (Probability theory). 615 0$aConvex geometry. 615 0$aDiscrete geometry. 615 0$aPhysics. 615 0$aMechanics, Applied. 615 0$aDifferential equations. 615 14$aDistribution Theory. 615 24$aConvex and Discrete Geometry. 615 24$aClassical and Continuum Physics. 615 24$aEngineering Mechanics. 615 24$aDifferential Equations. 676 $a519.24 700 $aChirila?$b Adina$01733323 702 $aMarin$b Marin$f1954- 702 $aO?chsner$b Andreas 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910483566803321 996 $aDistribution Theory Applied to Differential Equations$94464165 997 $aUNINA