Global-in-time smoothing effects for Schrödinger equations with inverse-square potentials

Haruya Mizutani

doi:10.1090/proc/13729

Global-in-time smoothing effects for Schrödinger equations with inverse-square potentials

Proceedings of the American Mathematical Society ◽

10.1090/proc/13729 ◽

2017 ◽

Vol 146 (1) ◽

pp. 295-307 ◽

Cited By ~ 1

Author(s):

Haruya Mizutani

Keyword(s):

Schrodinger Equations ◽

Schrödinger Equations ◽

Smoothing Effects ◽

Inverse Square Potentials

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Smoothing effects for Schrödinger equations with electro-magnetic potentials and applications to the Maxwell–Schrödinger equations

Journal of Functional Analysis ◽

10.1016/j.jfa.2012.04.010 ◽

2012 ◽

Vol 263 (1) ◽

pp. 1-24 ◽

Cited By ~ 5

Author(s):

Takeshi Wada

Keyword(s):

Schrodinger Equations ◽

Schrödinger Equations ◽

Smoothing Effects ◽

Electro Magnetic ◽

Magnetic Potentials

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Local well-posedness and smoothing effects of strongsolutions for nonlinear Schrödinger equations with potentials and magnetic fields

Hokkaido Mathematical Journal ◽

10.14492/hokmj/1285766208 ◽

2005 ◽

Vol 34 (1) ◽

pp. 37-63 ◽

Cited By ~ 4

Author(s):

Yoshihisa NAKAMURA ◽

Akihiro SHIMOMURA

Keyword(s):

Magnetic Fields ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Well Posedness ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Smoothing Effects ◽

Nonlinear Schrodinger Equations

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Analytic smoothing effects for some derivative nonlinear Schrodinger equations

Tsukuba Journal of Mathematics ◽

10.21099/tkbjm/1496164043 ◽

2000 ◽

Vol 24 (1) ◽

pp. 21-34 ◽

Cited By ~ 4

Author(s):

Nakao Hayashi ◽

Pavel I. Naumkin ◽

Patrick-Nicolas Pipolo

Keyword(s):

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Smoothing Effects ◽

Nonlinear Schrodinger Equations

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Ground states of nonlinear Schrödinger equations with sum of periodic and inverse-square potentials

Journal of Differential Equations ◽

10.1016/j.jde.2015.11.006 ◽

2016 ◽

Vol 260 (5) ◽

pp. 4180-4202 ◽

Cited By ~ 16

Author(s):

Qianqiao Guo ◽

Jarosław Mederski

Keyword(s):

Ground States ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Inverse Square Potentials

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Blowup of nonlinear Schrödinger equations with inverse-square potentials

Differential Equations & Applications ◽

10.7153/dea-06-17 ◽

2014 ◽

pp. 309-333

Author(s):

Toshiyuki Suzuki

Keyword(s):

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Inverse Square Potentials

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Smoothing effects for some derivative nonlinear Schrödinger equations

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.1999.5.685 ◽

1999 ◽

Vol 5 (3) ◽

pp. 685-695 ◽

Cited By ~ 3

Author(s):

Nakao Hayashi ◽

◽

Pavel I. Naumkin ◽

Patrick-Nicolas Pipolo ◽

◽

...

Keyword(s):

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Smoothing Effects ◽

Nonlinear Schrodinger Equations

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Nonlinear Schrödinger equations with inverse-square potentials in two dimensional space

Dynamical Systems and Differential Equations, AIMS Proceedings 2015 Proceedings of the 10th AIMS International Conference (Madrid, Spain) ◽

10.3934/proc.2015.1019 ◽

2015 ◽

Author(s):

Toshiyuki Suzuki

Keyword(s):

Dimensional Space ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Two Dimensional ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Inverse Square Potentials

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Smoothing effects and local existence theory for the generalized nonlinear Schrödinger equations

Inventiones mathematicae ◽

10.1007/s002220050272 ◽

1998 ◽

Vol 134 (3) ◽

pp. 489-545 ◽

Cited By ~ 77

Author(s):

Carlos E. Kenig ◽

Gustavo Ponce ◽

Luis Vega

Keyword(s):

Local Existence ◽

Nonlinear Schrödinger Equations ◽

Existence Theory ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Smoothing Effects ◽

Nonlinear Schrodinger Equations

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Critical case of nonlinear Schrödinger equations with inverse-square potentials on bounded domains

Mathematica Bohemica ◽

10.21136/mb.2014.143851 ◽

2014 ◽

Vol 139 (2) ◽

pp. 231-238 ◽

Cited By ~ 1

Author(s):

Toshiyuki Suzuki

Keyword(s):

Critical Case ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Bounded Domains ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Inverse Square Potentials

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Cauchy problem for nonlinear Schrödinger equations with inverse-square potentials

Applicable Analysis ◽

10.1080/00036811.2011.631914 ◽

2012 ◽

Vol 91 (8) ◽

pp. 1605-1629 ◽

Cited By ~ 9

Author(s):

Noboru Okazawa ◽

Toshiyuki Suzuki ◽

Tomomi Yokota

Keyword(s):

Cauchy Problem ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Inverse Square Potentials

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