Thursday, February 24, 2022 - 14:00 in H7 + Zoom
Nonlocal Gagliardo-Nirenberg-Sobolev type inequality
A talk in the Nonlocal Equations: Analysis and Numerics series by
Guy Fabrice Foghem Gounoue from Dresden
| Abstract: |
We establish Gagliardo-Nirenberg-Sobolev type inequalities on nonlocal Sobolev spaces generated by -Lévy integrable functions, by imposing some appropriate growth conditions on the associated critical function. This gives rise to the embedding of the local and the nonlocal Sobolev spaces into Orlicz type spaces. The Gagliardo-Nirenberg-Sobolev type inequalities, as in the classical context, turn out to have some reciprocity with Poincaré and Poincaré-Sobolev type inequalities. The classical fractional Sobolev inequality is also derived as a direct consequence.
Within the CRC this talk is associated to the project(s): A7 |
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