Finite-Time Singularities of Solutions of a Class of Nonlinear Schrodinger Equations
被引:0
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作者:
A. Karabis
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A. Karabis
E. Minchev
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E. Minchev
A. Rauh
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A. Rauh
机构:
来源:
International Journal of Theoretical Physics
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1998年
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37卷
关键词:
Field Theory;
Elementary Particle;
Quantum Field Theory;
Schrodinger Equation;
Nonlinear Schrodinger Equation;
D O I:
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学科分类号:
摘要:
Solutions to the initial-boundary value problemfor a class of nonlinear Schrodinger equations areconsidered. Sufficient conditions are found so that thesolutions do not exist for all times t > 0. An explicit upper bound of the t interval ofexistence of the solutions is obtained. The timeevolution of a singularity is demonstrated numericallyin the case of the one-dimensional Schrodingerequation.
机构:
Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China
Nanjing Univ, Inst Math Sci, Nanjing 210093, Peoples R ChinaNanjing Univ, Dept Math, Nanjing 210093, Peoples R China