Mass propagation for electromagnetic Schrödinger evolutions

نویسندگان

چکیده

We investigate the validity of Gaussian lower bounds for solutions to an electromagnetic Schrödinger equation with a bounded time-dependent complex electric potential and time-independent vector magnetic potential. prove that, if suitable geometric condition is satisfied by potential, then positive masses inside region at single time propagate outside region, provided average in space–time cylinders taken.

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ژورنال

عنوان ژورنال: Nonlinear Analysis-theory Methods & Applications

سال: 2022

ISSN: ['1873-5215', '0362-546X']

DOI: https://doi.org/10.1016/j.na.2021.112734