A carefully written Nirenberg’s proof of the famous Gagliardo–Nirenberg interpolation inequality for intermediate derivatives in Rn seems, surprisingly, to be missing in literature. In our paper, we shall first introduce this fundamental result and provide information about its historical background. Afterwards, we present a complete, student-friendly proof. In our proof, we use the architecture of Nirenberg’s argument, the explanation is, however, much more detailed, also containing some differences. The reader can find a short comparison of differences and similarities in the final chapter.
Detailed proof of classical gagliardo–nirenberg interpolation inequality with historical remarks
Formica M. R.;
2021-01-01
Abstract
A carefully written Nirenberg’s proof of the famous Gagliardo–Nirenberg interpolation inequality for intermediate derivatives in Rn seems, surprisingly, to be missing in literature. In our paper, we shall first introduce this fundamental result and provide information about its historical background. Afterwards, we present a complete, student-friendly proof. In our proof, we use the architecture of Nirenberg’s argument, the explanation is, however, much more detailed, also containing some differences. The reader can find a short comparison of differences and similarities in the final chapter.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.