We prove local and global well-posedness for semi-relativistic, nonlinear Schrödinger equations i∂tu=−Δ+m2 √u+F(u) with initial data in Hs(ℝ3), s⩾1/2. Here F(u) is a critical Hartree nonlinearity that corresponds to Coulomb or Yukawa type self-interactions. For focusing F(u), which arise in the quantum theory of boson stars, we derive global-in-time existence for small initial data, where the smallness condition is expressed in terms of the L2-norm of solitary wave ground states. Our proof of well-posedness does not rely on Strichartz type estimates. As a major benefit from this, our method enables us to consider external potentials of a quite general class.
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from #AlexandrosSfakianakis via Alexandros G.Sfakianakis on Inoreader http://ift.tt/2jCvX3K via IFTTT
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Abstract Purpose of Review Our goal is to summarize the airway disease literature since September 11, 2001 (9/11), focusing on studies pub...
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Treatment effectiveness holds considerable importance in the association between service quality and satisfaction in medical service studies...
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Vol.25 No.2 from #AlexandrosSfakianakis via Alexandros G.Sfakianakis on Inoreader http://ift.tt/1P7bHxT via IFTTT
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Publication date: Available online 16 January 2017 Source: International Journal of Pediatric Otorhinolaryngology Author(s): Kaveh Karimn...
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Understanding Head And Neck Cancers - The Southeast Sun ... The Southeast Sun (NAPSI)—According to the Centers for Disease Control an...
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Abstract Background Henoch–Schönlein purpura is the most common vasculitis in children. Its long-term prognosis depends on renal involve...
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Publication date: June 2017 Source: International Journal of Biological Macromolecules, Volume 99 Author(s): Oliviero Carugo The positio...
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Publication date: 21 February 2017 Source: Cell Reports, Volume 18, Issue 8 Author(s): Arielle Glatman Zaretsky, Christoph Konradt, Fabien...
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