Abstract evolution equations, periodic problems and applications /
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Author / Creator: | Daners, D. (Daniel) |
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Imprint: | Essex, England : Longman Scientific & Technical ; New York : Copublished in the United States with J. Wiley, 1992. |
Description: | 249 p. ; 25 cm. |
Language: | English |
Series: | Pitman research notes in mathematical series, 0269-3674 ; 279 Pitman research notes in mathematics series 279 |
Subject: | |
Format: | Print Book |
URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/1469712 |
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100 | 1 | |a Daners, D. |q (Daniel) |0 http://id.loc.gov/authorities/names/n92017853 |1 http://viaf.org/viaf/36105604 | |
245 | 1 | 0 | |a Abstract evolution equations, periodic problems and applications / |c D. Daners and Pablo Koch Medina. |
260 | |a Essex, England : |b Longman Scientific & Technical ; |a New York : |b Copublished in the United States with J. Wiley, |c 1992. | ||
300 | |a 249 p. ; |c 25 cm. | ||
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490 | 1 | |a Pitman research notes in mathematical series, |x 0269-3674 ; |v 279 | |
504 | |a Includes bibliographical references (p. 243-249). | ||
505 | 2 | 0 | |t General notation -- |g I. |t Linear evolution equations of parabolic type. |g 1. |t C[subscript 0]-semigroups. |g 2. |t The evolution operator. |g 3. |t Interpolation spaces. |g 4. |t The real, complex and continuous interpolation methods. |g 5. |t The evolution operator in interpolation spaces -- |g II. |t Linear periodic evolution equations. |g 6. |t The evolution operator. |g 7. |t Spectral decompositions. |g 8. |t Floquet representations -- |g III. |t Miscellaneous. |g 9. |t Abstract Volterra integral equations. |g 10. |t Yosida approximations of the evolution operator. |g 11. |t Parameter dependence. |g 12. |t Ordered Banach spaces and positive operators. |g 13. |t The parabolic maximum principle and positivity. |g 14. |t Superconvexity and periodic-parabolic eigenvalue problems -- |g IV. |t Semilinear evolution equations of parabolic type. |g 15. |t Mild solutions. |g 16. |t Existence and continuous dependence. |g 17. |t Global solutions. |g 18. |t Parameter dependence -- |g V. |t Semilinear periodic evolution equations. |g 19. |t Equilibria in autonomous equations. |g 20. |t The period-map. |g 21. |t Stability of periodic solutions. |g 22. |t Linearized stability and instability. |g 23. |t Stability in weaker norms -- |g VI. |t Applications. |g 24. |t Reaction-diffusion equations in bounded domains. |g 25. |t Reaction-diffusion equations in R[superscript n]. |g 26. |t A nonstandard example arising in epidemiology. |g A1. |t Spaces of continuous and differentiable functions. |g A2. |t Distributions and test functions. |g A3. |t Sobolev spaces and interpolation. |g A4. |t Boundary spaces and the trace operator. |
650 | 0 | |a Evolution equations |x Numerical solutions |0 http://id.loc.gov/authorities/subjects/sh85046036 | |
650 | 0 | |a Differential equations, Parabolic |x Numerical solutions |0 http://id.loc.gov/authorities/subjects/sh85037911 | |
650 | 7 | |a Differential equations, Parabolic |x Numerical solutions. |2 fast |0 http://id.worldcat.org/fast/fst00893482 | |
650 | 7 | |a Evolution equations |x Numerical solutions. |2 fast |0 http://id.worldcat.org/fast/fst00917334 | |
700 | 2 | 0 | |a Koch Medina, P. |q (Pablo) |0 http://id.loc.gov/authorities/names/n92017858 |1 http://viaf.org/viaf/939693 |
830 | 0 | |a Pitman research notes in mathematics series |v 279 |0 http://id.loc.gov/authorities/names/n86737794 | |
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