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961127s1993 nyua b 001 0 eng |
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|a 96224167
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|a 0387979522 (acid-free paper)
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|a (NhCcYBP)YBT 96224167 //r98
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|a (NhCcYBP)YBP98271155953
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|a DLC
|c DLC
|d DLC
|d OrLoB-B
|d OCoLC
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| 050 |
0 |
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|a QA374
|b .R4244 1993
|
| 082 |
0 |
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|a 515/.353
|2 21
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| 100 |
1 |
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|a Renardy, Michael.
|0 http://id.loc.gov/authorities/names/n85218350
|1 http://viaf.org/viaf/79151
|
| 245 |
1 |
3 |
|a An introduction to partial differential equations /
|c Michael Renardy, Robert C. Rogers.
|
| 260 |
|
|
|a New York :
|b Springer,
|c c1993
|g (1996 printing)
|
| 300 |
|
|
|a xiii, 428 p. :
|b ill. ;
|c 25 cm.
|
| 336 |
|
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|a text
|b txt
|2 rdacontent
|0 http://id.loc.gov/vocabulary/contentTypes/txt
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| 337 |
|
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|a unmediated
|b n
|2 rdamedia
|0 http://id.loc.gov/vocabulary/mediaTypes/n
|
| 338 |
|
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|a volume
|b nc
|2 rdacarrier
|0 http://id.loc.gov/vocabulary/carriers/nc
|
| 440 |
|
0 |
|a Texts in applied mathematics
|v 13
|
| 500 |
|
|
|a "Corrected second printing"--T.p. verso.
|
| 504 |
|
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|a Includes bibliographical references and index.
|
| 505 |
2 |
0 |
|g 1.
|t Introduction.
|g 1.1.
|t Basic Mathematical Questions.
|g 1.2.
|t Elementary Partial Differential Equations --
|g 2.
|t Characteristics.
|g 2.1.
|t Classification and Characteristics.
|g 2.2.
|t The Cauchy-Kovalevskaya Theorem.
|g 2.3.
|t Holmgren's Uniqueness Theorem --
|g 3.
|t Conservation Laws and Shocks.
|g 3.1.
|t Systems in One Space Dimension.
|g 3.2.
|t Basic Definitions and Hypotheses.
|g 3.3.
|t Blowup of Smooth Solutions.
|g 3.4.
|t Weak Solutions.
|g 3.5.
|t Riemann Problems.
|g 3.6.
|t Other Selection Criteria --
|g 4.
|t Maximum Principles.
|g 4.1.
|t Maximum Principles of Elliptic Problems.
|g 4.2.
|t An Existence Proof for the Dirichlet Problem.
|g 4.3.
|t Radial Symmetry.
|g 4.4.
|t Maximum Principles for Parabolic Equations --
|g 5.
|t Distributions.
|g 5.1.
|t Test Functions and Distributions.
|g 5.2.
|t Derivatives and Integrals.
|g 5.3.
|t Convolutions and Fundamental Solutions.
|g 5.4.
|t The Fourier Transform.
|g 5.5.
|t Green's Functions --
|g 6.
|t Function Spaces.
|g 6.1.
|t Banach Spaces and Hilbert Spaces.
|g 6.2.
|t Bases in Hilbert Spaces.
|g 6.3.
|t Duality and Weak Convergence.
|g 6.4.
|t Sobolev Spaces --
|g 7.
|t Operator Theory.
|g 7.1.
|t Basic Definitions and Examples.
|g 7.2.
|t The Open Mapping Theorem.
|g 7.3.
|t Spectrum and Resolvent.
|g 7.4.
|t Symmetry and Self-adjointness.
|g 7.5.
|t Compact Operators.
|g 7.6.
|t Sturm-Liouville Boundary-Value Problems.
|g 7.7.
|t The Fredholm Index --
|g 8.
|t Linear Elliptic Equations.
|g 8.1.
|t Definitions.
|g 8.2.
|t Existence and Uniqueness of the Solutions of the Dirichlet Problem.
|g 8.3.
|t Eigenfunction Expansions.
|g 8.4.
|t General Linear Elliptic Problems.
|g 8.5.
|t Interior Regularity.
|g 8.6.
|t Boundary Regularity --
|g 9.
|t Nonlinear Elliptic Equations.
|g 9.1.
|t Perturbation Results.
|g 9.2.
|t Nonlinear Variational Problems.
|g 9.3.
|t Nonlinear Operator Theory Methods --
|g 10.
|t Energy Methods for Evolution Problems.
|g 10.1.
|t Parabolic Equations.
|g 10.2.
|t Hyperbolic Evolution Problems --
|g 11.
|t Semigroup Methods.
|g 11.1.
|t Semigroups and Infinitesimal Generators.
|g 11.2.
|t The Hille-Yosida Theorem.
|g 11.3.
|t Applications to PDEs.
|g 11.4.
|t Analytic Semigroups.
|
| 650 |
|
0 |
|a Differential equations, Partial.
|0 http://id.loc.gov/authorities/subjects/sh85037912
|
| 650 |
|
7 |
|a Differential equations, Partial.
|2 fast
|0 http://id.worldcat.org/fast/fst00893484
|
| 700 |
1 |
|
|a Rogers, Robert C.
|0 http://id.loc.gov/authorities/names/n88634641
|1 http://viaf.org/viaf/37005373
|
| 901 |
|
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|a ToCBNA
|
| 903 |
|
|
|a HeVa
|
| 035 |
|
|
|a (OCoLC)219968826
|
| 929 |
|
|
|a cat
|
| 999 |
f |
f |
|i 75852c71-2c0c-56dd-bf5d-50212e9637b7
|s 33b9851f-72fa-5872-a1f7-f84af63949d5
|
| 928 |
|
|
|t Library of Congress classification
|a QA374 .R4244 1993
|l Eck
|c Eck-Eck
|i 3732087
|
| 927 |
|
|
|t Library of Congress classification
|a QA374 .R4244 1993
|l Eck
|c Eck-Eck
|b 48354725
|i 5789635
|
