001434557 000__ 03951cam\a2200733\i\4500 001434557 001__ 1434557 001434557 003__ OCoLC 001434557 005__ 20230309003736.0 001434557 006__ m\\\\\o\\d\\\\\\\\ 001434557 007__ cr\cn\nnnunnun 001434557 008__ 210208s2021\\\\sz\\\\\\ob\\\\001\0\eng\d 001434557 019__ $$a1237400052$$a1237525664$$a1244118516 001434557 020__ $$a9783030671594$$q(electronic bk.) 001434557 020__ $$a3030671593$$q(electronic bk.) 001434557 020__ $$z9783030671587 001434557 020__ $$z3030671585 001434557 0247_ $$a10.1007/978-3-030-67159-4$$2doi 001434557 035__ $$aSP(OCoLC)1240606445 001434557 040__ $$aSFB$$beng$$erda$$epn$$cSFB$$dEBLCP$$dOCLCO$$dYDXIT$$dGW5XE$$dYDX$$dOCLCO$$dDCT$$dOCLCF$$dUKAHL$$dN$T$$dOCLCO$$dOCLCQ$$dCOM$$dOCLCO$$dWAU$$dOCLCQ 001434557 049__ $$aISEA 001434557 050_4 $$aQA273.6$$b.C45 2021 001434557 08204 $$a519.2/4$$223 001434557 1001_ $$aChirilă, Adina,$$eauthor. 001434557 24510 $$aDistribution theory applied to differential equations /$$cAdina Chirilă, Marin Marin, Andreas Öchsner. 001434557 264_1 $$aCham :$$bSpringer,$$c[2021] 001434557 300__ $$a1 online resource (viii, 276 pages) 001434557 336__ $$atext$$btxt$$2rdacontent 001434557 337__ $$acomputer$$bc$$2rdamedia 001434557 338__ $$aonline resource$$bcr$$2rdacarrier 001434557 347__ $$atext file 001434557 347__ $$bPDF 001434557 504__ $$aIncludes bibliographical references and index. 001434557 5050_ $$aIntroduction -- Preliminaries -- Convex and lower-semicontinuous functions -- The subdifferential of a convex function -- Evolution equations -- Distributions -- Tempered distributions -- Differential equations in distributions -- Sobolev spaces -- Variational problems -- On some spaces of distributions -- On some differential operators. 001434557 506__ $$aAccess limited to authorized users. 001434557 520__ $$aThis book presents important contributions to modern theories concerning the distribution theory applied to convex analysis (convex functions, functions of lower semicontinuity, the subdifferential of a convex function). The authors prove several basic results in distribution theory and present ordinary differential equations and partial differential equations by providing generalized solutions. In addition, the book deals with Sobolev spaces, which presents aspects related to variation problems, such as the Stokes system, the elasticity system and the plate equation. The authors also include approximate formulations of variation problems, such as the Galerkin method or the finite element method. The book is accessible to all scientists, and it is especially useful for those who use mathematics to solve engineering and physics problems. The authors have avoided concepts and results contained in other books in order to keep the book comprehensive. Furthermore, they do not present concrete simplified models and pay maximal attention to scientific rigor. 001434557 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed March 22, 2021). 001434557 650_0 $$aDistribution (Probability theory) 001434557 650_0 $$aConvex functions. 001434557 650_0 $$aDifferential equations. 001434557 650_0 $$aProbabilities. 001434557 650_0 $$aConvex geometry. 001434557 650_0 $$aDiscrete geometry. 001434557 650_0 $$aField theory (Physics) 001434557 650_0 $$aMechanical engineering. 001434557 650_0 $$aMathematical analysis. 001434557 650_6 $$aDistribution (Théorie des probabilités) 001434557 650_6 $$aFonctions convexes. 001434557 650_6 $$aÉquations différentielles. 001434557 650_6 $$aProbabilités. 001434557 650_6 $$aGéométrie convexe. 001434557 650_6 $$aGéométrie discrète. 001434557 650_6 $$aThéorie des champs (Physique) 001434557 650_6 $$aGénie mécanique. 001434557 650_6 $$aAnalyse mathématique. 001434557 655_0 $$aElectronic books. 001434557 7001_ $$aMarin, Marin,$$d1954-$$eauthor. 001434557 7001_ $$aÖchsner, Andreas,$$eauthor. 001434557 77608 $$iPrint version:$$z3030671585 001434557 852__ $$bebk 001434557 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-67159-4$$zOnline Access$$91397441.1 001434557 909CO $$ooai:library.usi.edu:1434557$$pGLOBAL_SET 001434557 980__ $$aBIB 001434557 980__ $$aEBOOK 001434557 982__ $$aEbook 001434557 983__ $$aOnline 001434557 994__ $$a92$$bISE