Symmetry and symmetry breaking: rigidity and flows in elliptic PDEs.

Jean Dolbeault, Maria J. Esteban & Michael Loss
This paper collects results concerning global rates and large time asymptotics of a fractional fast diffusion on the Euclidean space, which is deeply related with a family of fractional Gagliardo-Nirenberg-Sobolev inequalities. Generically, self-similar solutions are not optimal for the Gagliardo-Nirenberg-Sobolev inequalities, in strong contrast with usual standard fast diffusion equations based on non-fractional operators. Various aspects of the stability of the self-similar solutions and of the entropy methods like carr ́e du champ and R...
This data repository is not currently reporting usage information. For information on how your repository can submit usage information, please see our documentation.