Large time behavior of solutions to Schr\"odinger equation with complex-valued potential
19 Feb 2020
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Aafarani Maha
We study the large-time behavior of the solutions to the Schr\"odinger
equation associated with a quickly decaying potential in dimension three. We
establish the resolvent expansions at threshold zero and near positive
resonances...The large-time expansions of solutions are obtained under different
conditions, including the existence of positive resonances and zero resonance
or/and zero eigenvalue.(read more)