Spectrum of some integro-differential operators and stability of travelling waves

Spectral properties of some integro-differential operators on R 1 are studied. Characterisation of the principal eigenvalue is obtained in terms of the positive eigenfunction. These results are used to prove local and global stability of travelling waves and to find their speed.

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Veröffentlicht in:	Nonlinear analysis 2011-09, Vol.74 (13), p.4455-4473
Hauptverfasser:	Ducrot, A., Marion, M., Volpert, V.
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis of PDEs Eigenfunctions Eigenvalues Exact sciences and technology Mathematical analysis Mathematics Nonlinearity Nonlocal elliptic operator Operator theory Operators Sciences and techniques of general use Spectra Spectral properties Stability Traveling waves Travelling waves
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Beschreibung
Zusammenfassung:	Spectral properties of some integro-differential operators on R 1 are studied. Characterisation of the principal eigenvalue is obtained in terms of the positive eigenfunction. These results are used to prove local and global stability of travelling waves and to find their speed.
ISSN:	0362-546X 1873-5215
DOI:	10.1016/j.na.2011.04.009