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10 papers · 2 filters
Uncertainty principles in Gelfand-Shilov spaces and null-controllability
Jérémy Martin
We provide new uncertainty principles for functions in a general class of Gelfand-Shilov spaces. These results apply, in particular, with the classical Gelfand-Shilov spaces as wel…
Zero-dispersion limit for the Benjamin-Ono equation on the torus with single well initial data
Louise Gassot
We consider the zero-dispersion limit for the Benjamin-Ono equation on the torus. We prove that when the initial data is a single well, the zero-dispersion limit exists in the weak…
Scattering and uniform in time error estimates for splitting method in NLS
Rémi Carles, Chunmei Su
We consider the nonlinear Schr{ö}dinger equation with a defocusing nonlinearity which is mass-(super)critical and energy-subcritical. We prove uniform in time error estimates for t…
On ground states for the 2D Schrodinger equation with combined nonlinearities and harmonic potential
Rémi Carles, Yavdat Ilyasov
We consider the nonlinear Schr{ö}dinger equation with a harmonic potential in the presence of two combined energy-subcritical power nonlinearities. We assume that the larger power…
Logarithmic Schr{ö}dinger equation and isothermal fluids
Rémi Carles
We consider the large time behavior in two types of equations, posed on the whole space R^d: the Schr{ö}dinger equation with a logarithmic nonlinearity on the one hand; compressibl…
Nonuniqueness and nonlinear instability of Gaussons under repulsive harmonic potential
Rémi Carles, Chunmei Su
We consider the Schr{ö}dinger equation with a nondispersive logarithmic nonlinearity and a repulsive harmonic potential. For a suitable range of the coefficients, there exist two p…