Special Session 15: Qualitative properties for solutions to nonlinear elliptic and parabolic equations
Strichartz estimates and well-posedness for a Schr\odinger equation with a nonlinear Neumann condition
Nicola Garofalo
Arizona State University USA
Co-Author(s): Gigliola Staffilani
Abstract:
I present the well-posedness in a Cauchy problem for a Schr\odinger equation with a nonlinear Neumann condition. This represents the appropriate Caffarelli-Silvestre extension problem for a nonlocal nonlinear Schr\odinger equation with memory.