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001484780 001__ 1484780
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001484780 019__ $$a1413375670$$a1414468681
001484780 020__ $$a9783031339288$$q(electronic bk.)
001484780 020__ $$a3031339282$$q(electronic bk.)
001484780 020__ $$z9783031339271
001484780 020__ $$z3031339274
001484780 0247_ $$a10.1007/978-3-031-33928-8$$2doi
001484780 035__ $$aSP(OCoLC)1415199284
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001484780 1001_ $$aTaylor, Michael E.,$$d1946-$$eauthor.
001484780 24510 $$aPartial differential equations.$$nIII,$$pNonlinear equations /$$cMichael E. Taylor.
001484780 24630 $$aDifferential equations, Partial
001484780 250__ $$aThird edition.
001484780 264_1 $$aCham :$$bSpringer,$$c2023.
001484780 300__ $$a1 online resource (734 pages) :$$billustrations (black and white).
001484780 336__ $$atext$$btxt$$2rdacontent
001484780 337__ $$acomputer$$bc$$2rdamedia
001484780 338__ $$aonline resource$$bcr$$2rdacarrier
001484780 4901_ $$aApplied mathematical sciences ;$$vvolume 117
001484780 5050_ $$aContents of Volumes I and II -- Preface -- 13 Function Space and Operator Theory for Nonlinear Analysis -- 14 Nonlinear Elliptic Equations -- 15 Nonlinear Parabolic Equations -- 16 Nonlinear Hyperbolic Equations -- 17 Euler and NavierStokes Equations for Incompressible Fluids -- 18 Einsteins Equations -- Index.
001484780 506__ $$aAccess limited to authorized users.
001484780 520__ $$aThe third of three volumes on partial differential equations, this is devoted to nonlinear PDE. It treats a number of equations of classical continuum mechanics, including relativistic versions, as well as various equations arising in differential geometry, such as in the study of minimal surfaces, isometric imbedding, conformal deformation, harmonic maps, and prescribed Gauss curvature. In addition, some nonlinear diffusion problems are studied. It also introduces such analytical tools as the theory of L^p Sobolev spaces, Holder spaces, Hardy spaces, and Morrey spaces, and also a development of Calderon-Zygmund theory and paradifferential operator calculus. The book is targeted at graduate students in mathematics and at professional mathematicians with an interest in partial differential equations, mathematical physics, differential geometry, harmonic analysis, and complex analysis. The third edition further expands the material by incorporating new theorems and applications throughout the book, and by deepening connections and relating concepts across chapters. It includes new sections on rigid body motion, on probabilistic results related to random walks, on aspects of operator theory related to quantum mechanics, on overdetermined systems, and on the Euler equation for incompressible fluids. The appendices have also been updated with additional results, ranging from weak convergence of measures to the curvature of Kahler manifolds. Michael E. Taylor is a Professor of Mathematics at the University of North Carolina, Chapel Hill, NC. Review of first edition: These volumes will be read by several generations of readers eager to learn the modern theory of partial differential equations of mathematical physics and the analysis in which this theory is rooted. (Peter Lax, SIAM review, June 1998).
001484780 588__ $$aDescription based on print version record.
001484780 650_6 $$aÉquations différentielles non linéaires.
001484780 650_0 $$aDifferential equations, Nonlinear.$$xNumerical solutions$$0(DLC)sh 85037908
001484780 655_0 $$aElectronic books.
001484780 77608 $$iPrint version:$$aTaylor, Michael E., 1946-$$tPartial differential equations. III, Nonlinear equations.$$bThird edition.$$dCham : Springer, 2023$$z9783031339271$$w(OCoLC)1388641696
001484780 830_0 $$aApplied mathematical sciences (Springer-Verlag New York Inc.) ;$$vv. 117.
001484780 852__ $$bebk
001484780 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-031-33928-8$$zOnline Access$$91397441.1
001484780 909CO $$ooai:library.usi.edu:1484780$$pGLOBAL_SET
001484780 980__ $$aBIB
001484780 980__ $$aEBOOK
001484780 982__ $$aEbook
001484780 983__ $$aOnline
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