Large time behavior of solutions to Schr\"odinger equation with complex-valued potential

19 Feb 2020  ·  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.

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Mathematical Physics Analysis of PDEs Mathematical Physics Spectral Theory
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