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MR2030223 (2004j:37143) 37K55 (35B35 35L70 37K45)
Nekhoroshev, N. N. Strong stability of an approximate fundamental mode of a nonlinear string equation. (Russian) Tr. Mosk. Mat. Obs. 63 (2002), 166--236; translation in Trans. Moscow Math. Soc. 2002, 151--217 (2003)
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