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摘要
We consider quasimodes on planar domains with a partially rectangular boundary. We prove that for any epsilon0 > 0, an O(lambda-epsilon0 ) quasimode must have L 2 mass in the "wings" (in phase space) bounded below by lambda-2-delta for any delta > 0. The proof uses the author's recent work on 0-Gevrey smooth domains to approximate quasimodes on C 1, 1 domains. There is an improvement for C k, alpha and C infinity domains.
- 出版日期2015-4-3
