On local well-posedness for Hs-critical nonlinear Schrödinger equations.

Autor: Tabata, Kosuke, Wada, Takeshi
Zdroj: Journal of Evolution Equations; Jun2023, Vol. 23 Issue 2, p1-24, 24p
Abstrakt: This paper concerns the Cauchy problem for the nonlinear Schrödinger equation with power nonlinearity. Time local well-posedness in H s (R N) is proved in the case where the nonlinear term is critical from the scaling point of view, and has limited regularity so that the nonlinear term does not belong to C s (R 2 ; R 2) . [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index