<p>The aim of this work is to develop the Hörmander microlocal theory in the isotropic framework and use the results we obtain to study the propagation of singularities for an evolution problem, with generator given by a Weyl-quantization of a complex quadratic form on the phase space.</p>

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Propagation of Shubin–Sobolev singularities of Weyl-quantizations of complex quadratic forms

  • Marcello Malagutti,
  • Alberto Parmeggiani,
  • Davide Tramontana

摘要

The aim of this work is to develop the Hörmander microlocal theory in the isotropic framework and use the results we obtain to study the propagation of singularities for an evolution problem, with generator given by a Weyl-quantization of a complex quadratic form on the phase space.