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Global H1 solvability of the 3D logarithmic Schrödinger equation

Nonlinear Analysis: Real World Applications, ISSN: 1468-1218, Vol: 11, Issue: 1, Page: 79-87
2010
  • 56
    Citations
  • 0
    Usage
  • 10
    Captures
  • 0
    Mentions
  • 0
    Social Media
Metric Options:   Counts1 Year3 Year

Metrics Details

  • Citations
    56
    • Citation Indexes
      56
  • Captures
    10

Article Description

In this paper we investigate the existence of a unique global mild solution in H1(R3) of the initial-boundary value problem associated with the logarithmic Schrödinger equation i∂tψ=−DΔψ+σlog(|ψ|2)ψ, with D>0 and σ∈R∖{0}.

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