On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equations

Journal of Mathematical Physics ◽

10.1063/1.523491 ◽

1977 ◽

Vol 18 (9) ◽

pp. 1794-1797 ◽

Author(s):

R. T. Glassey

Keyword(s):

Cauchy Problem ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

The Cauchy Problem

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A Remark on the Blowing-Up of Solutions to the Cauchy Problem for Nonlinear Schrodinger Equations

Transactions of the American Mathematical Society ◽

10.2307/2000489 ◽

1987 ◽

Vol 299 (1) ◽

pp. 193 ◽

Author(s):

O. Kavian

Keyword(s):

Cauchy Problem ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

The Cauchy Problem

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A remark on the blowing-up of solutions to the Cauchy problem for nonlinear Schrödinger equations

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-1987-0869407-0 ◽

1987 ◽

Vol 299 (1) ◽

pp. 193-193 ◽

Author(s):

O. Kavian

Keyword(s):

Cauchy Problem ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

The Cauchy Problem

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On the Cauchy problem for the nonlinear Schrödinger equations with time-dependent linear loss/gain

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2014.03.019 ◽

2014 ◽

Vol 416 (2) ◽

pp. 901-923 ◽

Author(s):

Binhua Feng ◽

Dun Zhao ◽

Chunyou Sun

Keyword(s):

Cauchy Problem ◽

Nonlinear Schrödinger Equations ◽

Time Dependent ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

The Cauchy Problem ◽

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Nonlinear Schrödinger equations in inhomogeneous media: wellposedness and illposedness of the Cauchy problem

Proceedings of the International Congress of Mathematicians Madrid, August 22–30, 2006 ◽

10.4171/022-3/8 ◽

2009 ◽

pp. 156-182

Author(s):

Patrick Gérard

Keyword(s):

Cauchy Problem ◽

Inhomogeneous Media ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

The Cauchy Problem

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The Cauchy problem for non-autonomous nonlinear Schrödinger equations

Science in China Series A Mathematics ◽

10.1360/04ys0012 ◽

2005 ◽

Vol 48 (4) ◽

pp. 522 ◽

Author(s):

Y. H. Pang Peter

Keyword(s):

Cauchy Problem ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

The Cauchy Problem

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Sharp weights in the Cauchy problem for nonlinear Schrödinger equations with potential

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/s00033-015-0501-6 ◽

2015 ◽

Vol 66 (4) ◽

pp. 2087-2094 ◽

Author(s):

Rémi Carles

Keyword(s):

Cauchy Problem ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

The Cauchy Problem

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On the Cauchy problem of fourth-order nonlinear Schrödinger equations

Nonlinear Analysis ◽

10.1016/j.na.2006.04.020 ◽

2007 ◽

Vol 66 (12) ◽

pp. 2911-2930 ◽

Author(s):

Ai Guo ◽

Shangbin Cui

Keyword(s):

Cauchy Problem ◽

Fourth Order ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

The Cauchy Problem

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Nonexistence of Global Solutions to the Cauchy Problem for the Damped Nonlinear Schrödinger Equations

SIAM Journal on Mathematical Analysis ◽

10.1137/0515028 ◽

1984 ◽

Vol 15 (2) ◽

pp. 357-366 ◽

Author(s):

Masayoshi Tsutsumi

Keyword(s):

Cauchy Problem ◽

Global Solutions ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

The Cauchy Problem

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The Cauchy problem for nonlinear Schrödinger equations in modulation spaces

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2015.01.005 ◽

2015 ◽

Vol 24 ◽

pp. 83-97 ◽

Author(s):

Shaolei Ru ◽

Jiecheng Chen

Keyword(s):

Cauchy Problem ◽

Nonlinear Schrödinger Equations ◽

Modulation Spaces ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

The Cauchy Problem

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The Cauchy Problem of the Nonlinear Schrödinger Equations in ℝ1+1

Acta Mathematicae Applicatae Sinica English Series ◽

10.1007/s10255-007-0398 ◽

2007 ◽

Vol 23 (4) ◽

pp. 593-610

Author(s):

Gui-xiang Xu

Keyword(s):

Cauchy Problem ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

The Cauchy Problem

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