Long time asymptotic expansions of heat kernels for perturbed Hill operators

Autor:	Minoru Murata, Tetsuo Tsuchida
Rok vydání:	2012
Předmět:	Maxima and minima Asymptotic analysis General Mathematics Continuous spectrum Applied mathematics Method of matched asymptotic expansions Mathematics Mathematical physics
Zdroj:	Asymptotic Analysis. 79:161-187
ISSN:	0921-7134
DOI:	10.3233/asy-2012-1091
Popis:	We obtain, by exploiting Jost functions, asymptotic expansions of Green functions of perturbed Hill operators with respect to the spectral parameter around the minima of the continuous spectra. From the Green function expansions, we derive asymptotic expansions for large time of heat kernels for perturbed Hill operators.
Databáze:	OpenAIRE
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