Smoothing effects for Schrödinger equations with electro-magnetic potentials and applications to the Maxwell–Schrödinger equations
نویسندگان
چکیده
منابع مشابه
Local Well-posedness and Smoothing Effects of Strong Solutions for Nonlinear Schrödinger Equations with Potentials and Magnetic Fields
In this paper, we study the existence and the regularity of local strong solutions for the Cauchy problem of nonlinear Schrödinger equations with time-dependent potentials and magnetic fields. We consider these equations when the nonlinear term is the power type which is, for example, equal to λ|u|p−1u with some 1 ≤ p < ∞, λ ∈ R. We prove local well-posedness of strong solutions under the addit...
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 2012
ISSN: 0022-1236
DOI: 10.1016/j.jfa.2012.04.010