Variational formulas and approximation theorems for the first eigenvalue in dimension one

Science in China, Series A: Mathematics, Physics, Astronomy

Volumn 44, Issue 4, 2001, Pages 409-418

  Chen, Mufa ^a  

^a BEIJING NORMAL UNIVERSITY   (China)

Author keywords

Birth death process; Elliptic operator; First eigenvalue; Variational formula

Indexed keywords

EID: 52549104564     PISSN: 10069283     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02881877     Document Type: Article

References (7)

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2. Chen, M. F., Wang, F. Y., Estimation of spectral gap for elliptic operators, Trans. Amer. Math. Soc., 1997, 349(3): 1239-1267.
3. Chen, M. F., Wang, F. Y., General formula for lower bound of the first eigenvalue, Science in China, Ser. A, 1997, 40 (4): 384-394.
4. Chen, M. F., Estimation of spectral gap for Markov chains, Acta Math. Sin. New Series, 1996, 12(4): 337-360.
5. Chen, M. F., Analytic proof of dual variational formula for the first eigenvalue in dimension one, Sci. in China, Ser. A, 1999, 42(8): 805-815.
6. Chen, M. F., Coupling, spectral gap and related topics (I), Chin. Sci. Bulletin, 1997, 42(16): 1321-1327.
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