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|a 0521794242
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|a (OCoLC)44014677
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|a UKM
|c UKM
|d C#P
|d IQU
|d OCoLC
|d OrLoB-B
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|a pcc
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|a CGUA
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|a QA614.813
|b .C48 2000
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| 082 |
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|a 515.353
|2 21
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| 100 |
1 |
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|a Cholewa, Jan W.
|0 http://id.loc.gov/authorities/names/no00077075
|1 http://viaf.org/viaf/233023
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| 245 |
1 |
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|a Global attractors in abstract parabolic problems /
|c Jan W. Cholewa & Tomasz Dlotko ; in cooperation with Nathaniel Chafee.
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| 260 |
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|a Cambridge, UK ;
|a New York :
|b Cambridge University Press,
|c 2000.
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| 300 |
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|a xii, 235 p. ;
|c 23 cm.
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| 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
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| 338 |
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|a volume
|b nc
|2 rdacarrier
|0 http://id.loc.gov/vocabulary/carriers/nc
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| 440 |
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|a London Mathematical Society lecture note series.
|v 278
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| 504 |
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|a Includes bibliographical references (p. 225-233) and index.
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| 505 |
0 |
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|g Ch. 1.
|t Preliminary Concepts --
|g 1.1.
|t Elements of stability theory --
|g 1.2.
|t Inequalities. Elliptic operators --
|g 1.3.
|t Sectorial operators --
|g Ch. 2.
|t The abstract Cauchy problem --
|g 2.1.
|t Evolutionary equation with sectorial operator --
|g 2.2.
|t Variation of constants formula --
|g 2.3.
|t Local X[superscript [alpha]] solutions --
|g Ch. 3.
|t Semigroups of global solutions --
|g 3.1.
|t Generation of nonlinear semigroups --
|g 3.2.
|t Smoothing properties of the semigroup --
|g 3.3.
|t Compactness results --
|g Ch. 4.
|t Construction of the global attractor --
|g 4.1.
|t Dissipativeness of {T(t)} --
|g 4.2.
|t Existence of a global attractor - abstract setting --
|g 4.3.
|t Global solvability and attractors in X[superscript [alpha]] scales --
|g Ch. 5.
|t Application of abstract results to parabolic equations --
|g 5.1.
|t Formulation of the problem --
|g 5.2.
|t Global solutions via partial information --
|g 5.3.
|t Existence of a global attractor --
|g Ch. 6.
|t Examples of global attractors in parabolic problems --
|g 6.1.
|t Introductory example --
|g 6.2.
|t Single second order dissipative equation --
|g 6.3.
|t The method of invariant regions --
|g 6.4.
|t The Cahn-Hilliard pattern formation model --
|g 6.5.
|t Burgers equation --
|g 6.6.
|t Navier-Stokes equations in low dimension (n [less than or equal to] 2) --
|g 6.7.
|t Cauchy problems in the half-space R[superscript +] x R[superscript n] --
|g Ch. 7.
|t Backward uniqueness and regularity of solutions --
|g 7.1.
|t Invertible processes --
|g 7.2.
|t X[superscript s+[alpha]] solutions; s [greater than or equal to] 0, [alpha][Epsilon](0,1) --
|g Ch. 8.
|t Extensions --
|g 8.1.
|t Non-Lipschitz nonlinearities --
|g 8.2.
|t Application of the principle of linearized stability --
|g 8.3.
|t The n-dimensional Navier-Stokes system --
|g 8.4.
|t Parabolic problems in Holder spaces --
|g 8.5.
|t Dissipativeness in Holder spaces --
|g 8.6.
|t Equations with monotone operators --
|g Ch. 9.
|t Appendix --
|g 9.1.
|t Notation, definitions and conventions --
|g 9.2.
|t Abstract version of the maximum principle --
|g 9.3.
|t L[superscript [infinity]]([Omega]) estimate for second order problems --
|g 9.4.
|t Comparison of X[superscript [alpha]] solution with other types of solutions --
|g 9.5.
|t Final remarks.
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| 650 |
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|a Attractors (Mathematics)
|0 http://id.loc.gov/authorities/subjects/sh97005887
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| 650 |
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|a Differential equations, Parabolic.
|0 http://id.loc.gov/authorities/subjects/sh85037909
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| 650 |
|
7 |
|a Attractors (Mathematics)
|2 fast
|0 http://id.worldcat.org/fast/fst00820911
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| 650 |
|
7 |
|a Differential equations, Parabolic.
|2 fast
|0 http://id.worldcat.org/fast/fst00893480
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| 700 |
1 |
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|a Dlotko, Tomasz.
|0 http://id.loc.gov/authorities/names/no00077072
|1 http://viaf.org/viaf/46983225
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| 710 |
2 |
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|a London Mathematical Society.
|0 http://id.loc.gov/authorities/names/n79118957
|1 http://viaf.org/viaf/147737299
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|t Library of Congress classification
|a QA614.813.C48 2000
|l Eck
|c Eck-Eck
|i 4677436
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| 927 |
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|t Library of Congress classification
|a QA614.813.C48 2000
|l Eck
|c Eck-Eck
|b 54675939
|i 6937273
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