Trudinger type inequalities and uniqueness of weak solutions for the nonlinear Schrödinger mixed problem
The authors consider a mixed problem for the nonlinear Schrödinger equation. A typical behaviour for the nonlinear interaction function is a cubic growth. It is shown that, under suitable assumptions on the initial data, the problem admits at most one weak solution. The proof makes use of variants of Trudinger's inequality.
scientific article; zbMATH DE number 4212644
scientific article