Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
842455 | Nonlinear Analysis: Theory, Methods & Applications | 2009 | 13 Pages |
Abstract
This paper is devoted to the study of loss of derivatives for an evolution type model, which allows for non-integer powers of (âÎ). On the one hand, we describe the influence from the orders of principle symbols. On the other hand, we explore the significant impact of ν-related oscillation from the pseudo-differential operators. In the final analysis, to demonstrate the sharpness of our estimates, counter-examples are constructed through the application of Floquet theory and instability arguments.
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Authors
Daoyuan Fang, Xiaojun Lu, Michael Reissig,