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- W2068280424 abstract "The non autonomous Cauchy problem $ipartial_{t}u=-partial_{xx}^{2} u+alpha(t) delta_{0}u$ with u t = 0 = u 0 is considered in L 2 (ℝ) . The regularity assumptions for α are accurately analyzed and show that the general results for non autonomous linear evolution equations in Banach spaces are far from being optimal. In the mean time, this article shows an unexpected application of paraproduct techniques, initiated by J.M. Bony for nonlinear partial differential equations, to a classical linear problem." @default.
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- W2068280424 date "2009-12-03" @default.
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- W2068280424 title "Time-dependent Delta-interactions for 1D Schrödinger Hamiltonians" @default.
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- W2068280424 doi "https://doi.org/10.1007/s11040-009-9070-2" @default.
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