Local well-posedness for the inhomogeneous nonlinear Schrödinger equation in Hs(Rn)
Nonlinear Analysis: Real World Applications, ISSN: 1468-1218, Vol: 59, Page: 103268
2021
- 12Citations
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Metrics Details
- Citations12
- Citation Indexes12
- 12
Article Description
We study the local well-posedness of the Cauchy problem for the inhomogeneous nonlinear Schrödinger (INLS) equation iut+Δu=x−bf(u),u(0)=u0∈Hs(Rn), where b>0 and f(u) is a nonlinear function that behaves like λ uσu with λ ∈ ℂ and σ>0. First, we obtain the local well-posedness result in Hs with 0≤s
Bibliographic Details
http://www.sciencedirect.com/science/article/pii/S1468121820301863; http://dx.doi.org/10.1016/j.nonrwa.2020.103268; http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=85097328586&origin=inward; https://linkinghub.elsevier.com/retrieve/pii/S1468121820301863; https://api.elsevier.com/content/article/PII:S1468121820301863?httpAccept=text/xml; https://api.elsevier.com/content/article/PII:S1468121820301863?httpAccept=text/plain; https://dul.usage.elsevier.com/doi/; https://dx.doi.org/10.1016/j.nonrwa.2020.103268
Elsevier BV
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