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Small Data Global Existence and Scattering for the Mass-Critical Nonlinear Schrödinger Equation with Power Convolution in ℝ³

dc.creatorVenkov, George
dc.date2009-09-01
dc.date.accessioned2019-05-03T12:36:38Z
dc.date.available2019-05-03T12:36:38Z
dc.identifierhttp://revistas.ufro.cl/ojs/index.php/cubo/article/view/1450
dc.identifier.urihttp://revistaschilenas.uchile.cl/handle/2250/84182
dc.descriptionThe main purpose of the present paper is to consider the well-posedness of the L2-critical nonlinear Schrödinger equation of a Hartree type 𝒾∂tψ + △ψ = (|x|−1 ∗ |ψ|8/3)ψ,      (t, x) ∈ ℝ+ × ℝ3. More precisely, we shall establish the local existence of solutions for initial data ψ0 in L2(ℝ3), as well as the existence of global solutions for small initial data. Moreover, we shall prove the existence of scattering operator.en-US
dc.formatapplication/pdf
dc.languageeng
dc.publisherUniversidad de La Frontera. Temuco, Chile.en-US
dc.relationhttp://revistas.ufro.cl/ojs/index.php/cubo/article/view/1450/1305
dc.sourceCUBO, A Mathematical Journal; Vol. 11 Núm. 4 (2009): CUBO, A Mathematical Journal; 15–28es-ES
dc.sourceCUBO, A Mathematical Journal; Vol 11 No 4 (2009): CUBO, A Mathematical Journal; 15–28en-US
dc.source0719-0646
dc.source0716-7776
dc.titleSmall Data Global Existence and Scattering for the Mass-Critical Nonlinear Schrödinger Equation with Power Convolution in ℝ³en-US
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion


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