Abstract
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 \(\pm \infty \).
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Kapitula, T., Promislow, K. (2013). Essential and Absolute Spectra. In: Spectral and Dynamical Stability of Nonlinear Waves. Applied Mathematical Sciences, vol 185. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-6995-7_3
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DOI: https://doi.org/10.1007/978-1-4614-6995-7_3
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