001433971 000__ 03499cam\a2200601\i\4500
001433971 001__ 1433971
001433971 003__ OCoLC
001433971 005__ 20230309003703.0
001433971 006__ m\\\\\o\\d\\\\\\\\
001433971 007__ cr\un\nnnunnun
001433971 008__ 210215s2021\\\\sz\\\\\\ob\\\\001\0\eng\d
001433971 019__ $$a1237866655$$a1243391360$$a1244117115
001433971 020__ $$a9783030674281$$q(electronic bk.)
001433971 020__ $$a3030674282$$q(electronic bk.)
001433971 020__ $$z3030674274
001433971 020__ $$z9783030674274
001433971 0247_ $$a10.1007/978-3-030-67428-1$$2doi
001433971 035__ $$aSP(OCoLC)1237558772
001433971 040__ $$aYDX$$beng$$erda$$epn$$cYDX$$dEBLCP$$dGW5XE$$dOCLCO$$dSFB$$dDCT$$dOCLCF$$dUKAHL$$dN$T$$dOCLCO$$dAAA$$dOCLCO$$dOCLCQ$$dOCLCO$$dCOM$$dOCLCQ
001433971 049__ $$aISEA
001433971 050_4 $$aQA377
001433971 08204 $$a515/.3533$$223
001433971 1001_ $$aKha, Minh,$$eauthor.
001433971 24510 $$aLiouville-Riemann-Roch theorems on Abelian coverings /$$cMinh Kha, Peter Kuchment.
001433971 264_1 $$aCham :$$bSpringer,$$c[2021]
001433971 300__ $$a1 online resource
001433971 336__ $$atext$$btxt$$2rdacontent
001433971 337__ $$acomputer$$bc$$2rdamedia
001433971 338__ $$aonline resource$$bcr$$2rdacarrier
001433971 347__ $$atext file
001433971 347__ $$bPDF
001433971 4901_ $$aLecture notes in mathematics ;$$vvolume 2245
001433971 504__ $$aIncludes bibliographical references and index.
001433971 5050_ $$aPreliminaries -- The Main Results -- Proofs of the Main Results -- Specific Examples of Liouville-Riemann-Roch Theorems -- Auxiliary Statements and Proofs of Technical Lemmas -- Final Remarks and Conclusions.
001433971 506__ $$aAccess limited to authorized users.
001433971 520__ $$aThis book is devoted to computing the index of elliptic PDEs on non-compact Riemannian manifolds in the presence of local singularities and zeros, as well as polynomial growth at infinity. The classical RiemannRoch theorem and its generalizations to elliptic equations on bounded domains and compact manifolds, due to Mazya, Plameneskii, Nadirashvilli, Gromov and Shubin, account for the contribution to the index due to a divisor of zeros and singularities. On the other hand, the Liouville theorems of Avellaneda, Lin, Li, Moser, Struwe, Kuchment and Pinchover provide the index of periodic elliptic equations on abelian coverings of compact manifolds with polynomial growth at infinity, i.e. in the presence of a "divisor" at infinity. A natural question is whether one can combine the RiemannRoch and Liouville type results. This monograph shows that this can indeed be done, however the answers are more intricate than one might initially expect. Namely, the interaction between the finite divisor and the point at infinity is non-trivial. The text is targeted towards researchers in PDEs, geometric analysis, and mathematical physics
001433971 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed March 17, 2021).
001433971 650_0 $$aDifferential equations, Elliptic.
001433971 650_0 $$aRiemann-Roch theorems.
001433971 650_0 $$aRiemannian manifolds.
001433971 650_6 $$aÉquations différentielles elliptiques.
001433971 650_6 $$aThéorème de Riemann-Roch.
001433971 650_6 $$aVariétés de Riemann.
001433971 655_0 $$aElectronic books.
001433971 7001_ $$aKuchment, Peter,$$d1949-$$eauthor.
001433971 77608 $$iPrint version:$$z3030674274$$z9783030674274$$w(OCoLC)1227087123
001433971 830_0 $$aLecture notes in mathematics (Springer-Verlag) ;$$v2245.
001433971 852__ $$bebk
001433971 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-67428-1$$zOnline Access$$91397441.1
001433971 909CO $$ooai:library.usi.edu:1433971$$pGLOBAL_SET
001433971 980__ $$aBIB
001433971 980__ $$aEBOOK
001433971 982__ $$aEbook
001433971 983__ $$aOnline
001433971 994__ $$a92$$bISE