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We investigate localized periodic solutions (breathers) in a lattice of parametrically driven, nonlinear dissipative oscillators. These breathers are demonstrated to be exponentially localized, with two characteristic localization lengths. The crossover between the two lengths is shown to be related to the transition in the phase of the lattice oscillations.
It is shown that the Hankel transformation Hsub(v) acts in a class of weighted Sobolev spaces. Especially, the isometric mapping property of Hsub(v) which holds on L²(IRsub(+),rdr) is extended to spaces of arbitrary Sobolev order. The novelty in the approach consists in using techniques developed by B.-W. Schulze and others to treat the half-line Rsub(+) as a manifold with a conical singularity at r = 0. This is achieved by pointing out a connection between the Hankel transformation and the Mellin transformation.The procedure proposed leads at the same time to a short proof of the Hankel inversion formula. An application to the existence and higher regularity of solutions, including their asymptotics, to the 1-1-dimensional edge-degenerated wave equation is given.
Klassiker der Soziologie
(1997)
Die Untersuchungen machen wahrscheinlich, daß ein Reichsministerialengeschlecht vor 1161 den Raum Treuenbrietzen okkupierte, dort einen Herrschaftssitz errichtete und mit einem ersten Landesausbau begann. Zwischen 1194 und 1208 endete die relative Selbständigkeit dieses Geschlechts. Brietzen wurde Bestandteil der erzbischöflich-magdeburgischen Territorialherrschaft Jüterbog, ging aber noch im 13. Jahrhundert in brandenburgisch-askanischen Besitz über.
Grobianismus
(1997)
Ein neues Verfahren zur objektiven Bestimmung der äußeren Wirbelsäulenkurvatur in der Sagittalebene
(1997)
Arx Gerontis
(1997)
Astigi (s)
(1997)
Asturia
(1997)
Augusta Emerita
(1997)
Baecula
(1997)
Baetis
(1997)
Baliares
(1997)
Egelasta, iberische Siedlung
(1997)
Emporiae, heute Ampurias
(1997)
Corduba, heute Córdoba
(1997)
Damania
(1997)
Dertosa
(1997)
Dioletian (284-305)
(1997)