Abstract
Consider this chapter as a brief introduction to some properties of solutions to the classical Schrödinger equation with or without mass term. We continue the discussion of L p − L q estimates for this special example of a dispersive equation. In particular, we explain differences between expected results for the Schrödinger equation and for those the heat equation. In addition to these applications of phase space analysis we discuss the topic “Smoothing effect” for solutions, local and global smoothing as well.
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Ebert, M.R., Reissig, M. (2018). Phase Space Analysis and Smoothing for Schrödinger Equations. In: Methods for Partial Differential Equations. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-66456-9_13
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DOI: https://doi.org/10.1007/978-3-319-66456-9_13
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