000 02558cam a2200361 a 4500
001 16472270
005 20171015053311.0
008 100923m20119999nyua b 001 0 eng c
020 _a9781441970480 (v. 3 )
040 _abYT
_cBYT
_dBYT
041 _aeng
042 _apcc
082 0 4 _a515.353
_223
100 1 _aTaylor, Michael Eugene,
_d1946-
_92259
245 1 0 _aPartial differential equations III :
_bnonlinear equations /
_cMichael E. Taylor.
250 _aSecond edition
260 _aNew York :
_bSpringer,
_cc2011-
300 _a715 pages :
_billustrations ;
_c24 cm.
490 1 _aApplied mathematical sciences,
_x0066-5452 ;
_vv. 117
500 _a"There are seven additional chapters in this edition, two in Volume I, two in Volume II, and three in Volume III. In addition, several other sections have been substantially rewritten, and numerous others polished to reflect insights gained through the use of these books over time"--P. xxii.
504 _aIncludes bibliographical references and index.
505 0 _aFunction space and operator theory for nonlinear analysis -- Nonlinear elliptic equations -- Nonlinear parabolic equations -- Nonlinear hyperbolic equations -- Euler andf navier-stokes equations for incomprenssible fluids -- Einstein's equations
520 _aThis text provides an introduction to the theory of partial differential equations. It introduces basic examples of partial differential equations, arising in continuum mechanics, electromagnetism, complex analysis and other areas, and develops a number of tools for their solution, including particularly Fourier analysis, distribution theory, and Sobolev spaces. These tools are applied to the treatment of basic problems in linear PDE, including the Laplace equation, heat equation, and wave equation, as well as more general elliptic, parabolic, and hyperbolic equations. Companion texts, which take the theory of partial differential equations further, are AMS volume 116, treating more advanced topics in linear PDE, and AMS volume 117, treating problems in nonlinear PDE. --
650 0 _aDifferential equations, Partial
_9529
650 0 _aEcuaciones diferenciales, Parciales
_92762
650 0 _aEcuaciones diferenciales
_9199
650 0 _aDifferential equations
_9528
740 0 2 _aPartial differential equations, basic theory.
740 0 2 _aQualitative studies of linear equations.
740 0 2 _aNonlinear equations.
830 0 _aApplied mathematical sciences (Springer-Verlag New York Inc.) ;
_vv. 117
942 _2ddc
_cLIBRO
999 _c850