Analyticity of Extremals to the Airy Strichartz Inequality
نویسندگان
چکیده
We prove that there exists an extremal function to the Airy Strichartz inequality ‖e−t∂3 xf‖L8t,x(R×R) ≤ C‖f‖L2(R), by using the linear profile decomposition. Furthermore we show that, if f is an extremal, then f is exponentially decaying in the Fourier space and so f can be extended to be an entire function on the complex domain.
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تاریخ انتشار 2010