Article ID Journal Published Year Pages File Type
842455 Nonlinear Analysis: Theory, Methods & Applications 2009 13 Pages PDF
Abstract
This paper is devoted to the study of loss of derivatives for an evolution type model, which allows for non-integer powers of (−Δ). 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.
Related Topics
Physical Sciences and Engineering Engineering Engineering (General)
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