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001			54215
999			_c54215 _d14303
003			TR-AnTOB
005			20200511112917.0
008			090914m19932004nyua b 00100 eng
010			_a96224167
020			_a0387979522 (acid-free paper)
040			_aDLC _cDLC _dDLC
041			_aeng
050			_aQA374 _b.R42 2004
090			_aQA374 .R42 2004
100			_aRenardy, Michael _929205
245		3	_aAn introduction to partial differential equations / _cMichael Renardy, Robert C. Rogers.
250			_a2nd ed.
264		1	_aNew York : _bSpringer, _c2004.
300			_axiii, 428 p. : _bill. ; _c25 cm.
490	0		_aTexts in applied mathematics ; _v13
504			_aIncludes bibliographical references and index.
505			_a1.Introduction -- _g1.1.Basic Mathematical Questions -- _g1.2.Elementary Partial Differential Equations -- _g2.Characteristics -- _g2.1.Classification and Characteristics -- _g2.2.The Cauchy-Kovalevskaya Theorem -- _g2.3.Holmgren's Uniqueness Theorem -- _g3.Conservation Laws and Shocks -- _g3.1.Systems in One Space Dimension -- _g3.2.Basic Definitions and Hypotheses -- _g3.3.Blowup of Smooth Solutions -- _g3.4.Weak Solutions -- _g3.5.Riemann Problems -- _g3.6.Other Selection Criteria -- _g4.Maximum Principles -- _g4.1.Maximum Principles of Elliptic Problems -- _g4.2.An Existence Proof for the Dirichlet Problem -- _g4.3.Radial Symmetry -- _g4.4.Maximum Principles for Parabolic Equations -- _g5.Distributions -- _g5.1.Test Functions and Distributions -- _g5.2.Derivatives and Integrals -- _g5.3.Convolutions and Fundamental Solutions -- _g5.4.The Fourier Transform -- _g5.5.Green's Functions -- _g6.Function Spaces -- _g6.1.Banach Spaces and Hilbert Spaces -- _g6.2.Bases in Hilbert Spaces -- _g6.3.Duality and Weak Convergence -- _g6.4.Sobolev Spaces -- _g7.Operator Theory -- _g7.1.Basic Definitions and Examples -- _g7.2.The Open Mapping Theorem -- _g7.3.Spectrum and Resolvent -- _g7.4.Symmetry and Self-adjointness -- _g7.5.Compact Operators -- _g7.6.Sturm-Liouville Boundary-Value Problems -- _g7.7.The Fredholm Index -- _g8.Linear Elliptic Equations -- _g8.1.Definitions -- _g8.2.Existence and Uniqueness of the Solutions of the Dirichlet Problem -- _g8.3.Eigenfunction Expansions -- _g8.4.General Linear Elliptic Problems -- _g8.5.Interior Regularity -- _g8.6.Boundary Regularity -- _g9.Nonlinear Elliptic Equations -- _g9.1.Perturbation Results -- _g9.2.Nonlinear Variational Problems -- _g9.3.Nonlinear Operator Theory Methods -- _g10.Energy Methods for Evolution Problems -- _g10.1.Parabolic Equations -- _g10.2.Hyperbolic Evolution Problems -- _g11.Semigroup Methods -- _g11.1.Semigroups and Infinitesimal Generators -- _g11.2.The Hille-Yosida Theorem -- _g11.3.Applications to PDEs -- _g11.4.Analytic Semigroups.
650			_aDiferansiyel denklemler, Kısmi _925863
650			_aDifferential equations, Partial _91008
700			_aRogers, Robert C. _929206
901			_a0031551
902			_aMerkez Kütüphane.
945			_aöö
942			_cBK