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001484779 001__ 1484779
001484779 003__ OCoLC
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001484779 020__ $$a9783031337000$$q(electronic bk.)
001484779 020__ $$a303133700X$$q(electronic bk.)
001484779 020__ $$z9783031336997
001484779 020__ $$z3031336992
001484779 0247_ $$a10.1007/978-3-031-33700-0$$2doi
001484779 035__ $$aSP(OCoLC)1415199203
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001484779 08204 $$a515/.353$$223/eng/20231219
001484779 1001_ $$aTaylor, Michael E.,$$d1946-$$eauthor.
001484779 24510 $$aPartial differential equations II :$$bqualitative studies of linear equations /$$cMichael E. Taylor.
001484779 2463_ $$aQualitative studies of linear equations
001484779 250__ $$aThird edition.
001484779 264_1 $$aCham :$$bSpringer,$$c2023.
001484779 300__ $$a1 online resource (691 pages)
001484779 336__ $$atext$$btxt$$2rdacontent
001484779 337__ $$acomputer$$bc$$2rdamedia
001484779 338__ $$aonline resource$$bcr$$2rdacarrier
001484779 4901_ $$aApplied mathematical sciences ;$$vvolume 116
001484779 5050_ $$aPreface -- 7 Pseudodifferential Operators -- 8 Spectral Theory -- 9 Scattering by Obstacles -- 10 Dirac Operators and Index Theory -- 11 Brownian Motion and Potential Theory -- 12 The -Neumann Problem -- C Connections and Curvature -- Index.
001484779 506__ $$aAccess limited to authorized users.
001484779 520__ $$aThis second in the series of three volumes builds upon the basic theory of linear PDE given in volume 1, and pursues more advanced topics. Analytical tools introduced here include pseudodifferential operators, the functional analysis of self-adjoint operators, and Wiener measure. The book also develops basic differential geometrical concepts, centered about curvature. Topics covered include spectral theory of elliptic differential operators, the theory of scattering of waves by obstacles, index theory for Dirac operators, and Brownian motion and diffusion. The book is targeted at graduate students in mathematics and at professional mathematicians with an interest in partial differential equations, mathematical physics, differential geometry, harmonic analysis, and complex analysis. The third edition further expands the material by incorporating new theorems and applications throughout the book, and by deepening connections and relating concepts across chapters. It includes new sections on rigid body motion, on probabilistic results related to random walks, on aspects of operator theory related to quantum mechanics, on overdetermined systems, and on the Euler equation for incompressible fluids. The appendices have also been updated with additional results, ranging from weak convergence of measures to the curvature of Kahler manifolds. Michael E. Taylor is a Professor of Mathematics at the University of North Carolina, Chapel Hill, NC. Review of first edition: These volumes will be read by several generations of readers eager to learn the modern theory of partial differential equations of mathematical physics and the analysis in which this theory is rooted. (Peter Lax, SIAM review, June 1998).
001484779 588__ $$aDescription based on print version record.
001484779 650_0 $$aDifferential equations, Partial.
001484779 650_0 $$aDifferential equations, Linear.
001484779 655_0 $$aElectronic books.
001484779 77608 $$iPrint version:$$aTaylor, Michael E., 1946-$$tPartial differential equations II.$$bThird edition.$$dCham : Springer, 2023$$z9783031336997$$w(OCoLC)1388647021
001484779 830_0 $$aApplied mathematical sciences (Springer-Verlag New York Inc.) ;$$vv. 116.
001484779 852__ $$bebk
001484779 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-031-33700-0$$zOnline Access$$91397441.1
001484779 909CO $$ooai:library.usi.edu:1484779$$pGLOBAL_SET
001484779 980__ $$aBIB
001484779 980__ $$aEBOOK
001484779 982__ $$aEbook
001484779 983__ $$aOnline
001484779 994__ $$a92$$bISE