Absolute continuity of the essential spectrum of $$ - \frac{{d^2 }}{{dt^2 }} + q(t)$$ without monotony ofq

1972 ◽  
Vol 129 (1) ◽  
pp. 83-94 ◽  
Author(s):  
Johann Walter
2008 ◽  
Vol 18 (01) ◽  
pp. 219-225 ◽  
Author(s):  
DANIEL TURZÍK ◽  
MIROSLAVA DUBCOVÁ

We determine the essential spectrum of certain types of linear operators which arise in the study of the stability of steady state or traveling wave solutions in coupled map lattices. The basic tool is the Gelfand transformation which enables us to determine the essential spectrum completely.


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