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Asymptotic Behaviour of Parabolic Nonautonomous Evolution Equations

  • Roland SchnaubeltEmail author
Chapter
Part of the Lecture Notes in Mathematics book series (LNM, volume 1855)

Abstract

  • 1. Introduction

  • 2. Parabolic Evolution Equations

  • 3. Exponential Dichotomy
    • 3.1. Basic Observations

    • 3.2. Characterizations of Exponential Dichotomy

    • 3.3. Extensions and the Parabolic Case

  • 4. Exponential Dichotomy of Parabolic Evolution Equations
    • 4.1. Robustness

    • 4.2. Asymptotically Autonomous Equations

    • 4.3. Slowly Oscillating Coefficients

  • 5. Inhomogeneous Problems
    • 5.1. Asymptotically Autonomous Problems

    • 5.2. Almost Periodic Equations

  • 6. Convergent Solutions for a Quasilinear Equation

  • References

Mathematics Subject Classification (2000):

34Gxx 34K30 35K90 42A45 47Axx 47D06 47D07 49J20 60J25 93B28 

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Copyright information

© Springer-Verlag Berlin/Heidelberg 2004

Authors and Affiliations

  1. 1.FB Mathematik und InformatikMartin-Luther-UniversitätHalleGermany

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