On some Schrödinger and wave equations with time dependent potentials

Academic Article


  • The existence and uniqueness of solutions in the initial value problem for Schrödinger and wave equations in the presence of a (large) time dependent potential is studied. The usual Strichartz estimates for such linear evolutions are shown to hold true with optimal assumptions on the potentials. As a byproduct, one obtains a counterexample to the two dimensional double endpoint inhomogeneous Strichartz estimate.
  • Authors

    Published In

    Digital Object Identifier (doi)

    Author List

  • Naibo V; Stefanov A
  • Start Page

  • 325
  • End Page

  • 338
  • Volume

  • 334
  • Issue

  • 2