nonlinear Schr¨odinger equations Schr¨odinger operators scattering theory
Issue Date:
30-Nov-2022
Publisher:
"Prof. Marin Drinov" Publishing House of Bulgarian Academy of Sciences
Citation:
Nikolova, E., Tarulli, M., Venkov, G., “Decay in Energy Space for the Solutions of Generalized Schrödinger-Hartree Equation Perturbed by a Potential”, C. R. Acad. Bulg. Sci. , vol. 75, no. 11, pp. 1559–1572
Series/Report no.:
Comptes rendus de l'Académie bulgare des Sciences;75(11)
Abstract:
We prove, in any space dimension d≥3, the decay in the energy space for the defocusing Schrödinger–Hartree (SCH) equations with mass-energy intercritical non-local nonlinearities and perturbed by a potential. We will show also new Morawetz inequalities and estimates, generalizing the previous results appearing in [1].
