Abstract evolution equations, periodic problems and applications /

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Bibliographic Details
Author / Creator:Daners, D. (Daniel)
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
Hidden Bibliographic Details
Other authors / contributors:Koch Medina, P. (Pablo)
ISBN:0582096359
Notes:Includes bibliographical references (p. 243-249).

MARC

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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. 
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