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019 _a694146520
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020 _a9781441970497
_q(electronic bk.)
020 _a1441970495
_q(electronic bk.)
020 _a1441970487
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020 _a9781441970480
_q(print)
024 7 _a10.1007/978-1-4419-7049-7
_2doi
035 _a(OCoLC)695387409
_z(OCoLC)694146520
_z(OCoLC)858881786
_z(OCoLC)976244647
037 _a978-1-4419-7048-0
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050 4 _aQA377
_b.T397 2011
072 7 _aMAT
_x007020
_2bisacsh
082 0 4 _a515/.353
_222
100 1 _aTaylor, Michael E.,
_d1946-
245 1 0 _aPartial differential equations.
_nIII,
_pNonlinear equations /
_cMichael E. Taylor.
246 3 _aNonlinear equations
250 _a2nd ed.
260 _aNew York :
_bSpringer,
_c©2011.
300 _a(xxii, 715 pages).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aApplied mathematical sciences ;
_vv. 117
504 _aIncludes bibliographical references and index.
588 0 _aPrint version record.
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. In this second edition, there are seven new sections including Sobolev spaces on rough domains, boundary layer phenomena for the heat equation, an extension of complex interpolation theory, and Navier-Stokes equations with small viscosity. In addition, several other sections have been substantially rewritten, and numerous others polished to reflect insights obtained through the use of these books over time. 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.'(SIAM Review, June 1998).
650 0 _aDifferential equations, Partial.
650 4 _aDifferential Equations, Partial.
650 4 _aMathematics
_xDifferential Equations
_xPartial.
650 7 _aMATHEMATICS
_xDifferential Equations
_xPartial.
_2bisacsh
650 7 _aDifferential equations, Partial.
_2fast
_0(OCoLC)fst00893484
655 4 _aElectronic books.
776 0 8 _iPrint version:
_aTaylor, Michael Eugene, 1946-.
_tPartial differential equations III.
_b2nd ed.
_dNew York : Springer, 2011
_z9781441970480
830 0 _aApplied mathematical sciences (Springer-Verlag New York Inc.) ;
_vv. 117.
938 _aCoutts Information Services
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