Develops linear theory with a new Duhamel representation and sharp Strichartz estimates for half-space Schrödinger equations with Bessel-driven nonlinear boundary interactions, then proves well-posedness in mass-critical and subcritical regimes with distinct results for a ≥ 0 versus -1 < a < 0.
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Strichartz estimates for Schr\"odinger equations with nonlinear boundary interactions
Develops linear theory with a new Duhamel representation and sharp Strichartz estimates for half-space Schrödinger equations with Bessel-driven nonlinear boundary interactions, then proves well-posedness in mass-critical and subcritical regimes with distinct results for a ≥ 0 versus -1 < a < 0.