Essential and Absolute Spectra

  • Todd Kapitula
  • Keith Promislow
Part of the Applied Mathematical Sciences book series (AMS, volume 185)


The goal of this chapter is the characterization of the essential spectrum and Fredholm indices of two classes of linear differential operators on unbounded domains. The first class is comprised of nth-order differential operators with spatially varying coefficients that tend at an exponential rate to constant values at \(\pm \infty \).


Essential Spectrum Morse Index Exponential Dichotomy Linear Partial Differential Equation Asymptotic Operator 
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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  • Todd Kapitula
    • 1
  • Keith Promislow
    • 2
  1. 1.Department of Mathematics and StatisticsCalvin CollegeGrand RapidsUSA
  2. 2.Department of MathematicsMichigan State UniversityEast LansingUSA

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