Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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FRACTIONAL RELLICH-KONDRACHOV COMPACTNESS THEOREM

  • Published : 2012.08.15
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Abstract

It is proved that the fractional Sobolev spaces $W^s_p(\mathbb{R}^n)$ 0 < $s$ < $n$, are compactly embedded into Lebesgue spaces $L^q(\Omega)$ for some bounded set $\Omega$­.

Keywords

References

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  1. Remarks on solitary waves and Cauchy problem for Half-wave-Schrödinger equations vol.23, pp.5, 2012, https://doi.org/10.1142/s0219199720500583