We discuss some time-degenerate Schrödinger equations on R × Rn and on R × T2. We give weighted Strichartz estimates and local well-posedness results for the corresponding semilinear IVP (initial value problem). On R×T2 we also consider some nondegenerate space-variable coefficient Schrödinger equations and give a result about the local well-posedness of the cubic IVP.
Federico, S. (2022). On some variable coefficient Schrödinger operators on R × Rn and R × T 2. Rio de Janeiro : SBM- Sociedade Brasileira de Matemática [10.21711/231766362022/rmc522].
On some variable coefficient Schrödinger operators on R × Rn and R × T 2
Federico, Serena
2022
Abstract
We discuss some time-degenerate Schrödinger equations on R × Rn and on R × T2. We give weighted Strichartz estimates and local well-posedness results for the corresponding semilinear IVP (initial value problem). On R×T2 we also consider some nondegenerate space-variable coefficient Schrödinger equations and give a result about the local well-posedness of the cubic IVP.File in questo prodotto:
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