Global asymptotic behavior of solutions to quasilinear Schrödinger equations

dc.contributor.authorZhang, Lin
dc.contributor.authorSong, Xianfa
dc.date.accessioned2021-09-22T15:00:31Z
dc.date.available2021-09-22T15:00:31Z
dc.date.issued2020-03-31
dc.description.abstractWe are concerned with the existence and blowup of solutions for a class of quasilinear Schrödinger equations. In particular, we examine the combined effect of local type nonlinearity and Hartree type ones, and depending upon different parameter regimes, we find the dominant roles exhibited by these nonlinear effects. We also consider the asymptotic behavior for the global solution and lower bound for the blowup rate of the blowup solution by using pseudo-conformal conservation laws.
dc.description.departmentMathematics
dc.formatText
dc.format.extent14 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationZhang, L., & Song, X. (2020). Global asymptotic behavior of solutions to quasilinear Schrödinger equations. <i>Electronic Journal of Differential Equations, 2020</i>(27), pp. 1-14.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/14531
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.holderThis work is licensed under a Creative Commons Attribution 4.0 International License.
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2020, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectQusilinear Schrödinger equation
dc.subjectGlobal solution
dc.subjectBlow up
dc.subjectAsymptotic behavior
dc.titleGlobal asymptotic behavior of solutions to quasilinear Schrödinger equations
dc.typeArticle

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