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The solution of a generalized master equation and its long-time asymptotic limit for a simple Friedrichs model

โœ Scribed by J.W. Middleton; W.C. Schieve

Publisher
Elsevier Science
Year
1973
Weight
797 KB
Volume
63
Category
Article
ISSN
0031-8914

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## Abstract We consider the equation (โˆ’1)^__m__^โˆ‡^__m__^ (__p__โˆ‡^__m__^__u__) + โˆ‚__u__ = ฦ’ in โ„^__n__^ ร— (0, โˆž) for arbitrary positive integers __m__ and __n__ and under the assumptions __p__ โˆ’ 1, ฦ’ ฯต __C__(โ„^__n__^) and __p__ > 0. Even if the differential operator (โˆ’1)^__m__^โˆ‡^__m__^ (__p__โˆ‡^__m__