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带时间依赖的阻尼/增益分数阶Hartree方程解的全局存在性

Global Existence for Solution of Fractional Hartree Equation with Time-Dependent Damping/Gain
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摘要 利用Bootstrap论证方法,考虑一类带时间依赖的阻尼/增益分数阶Hartree方程解的全局存在性.分别从阻尼/增益系数和初值两方面讨论解全局存在的条件,得到了所讨论分数阶Hartree方程仅依赖于阻尼/增益系数,以及仅依赖于初值大小解的全局存在性条件. By using a bootstrap argument method,we considered the global existence for the solution of a class of fractional Hartree equations with time-dependent damping/gain.We discussed the global existence condition of the solution from two aspects of the damping/gain coefficients and the initial value,respectively.We obtained a global existence condition of the fractional Hartree equation which only depends on the damping/gain coefficients and only depends on the initial value of the solution.
作者 冯斌华 袁向霞 FENG Binhua;YUAN Xiangxia(College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Chin)
出处 《吉林大学学报(理学版)》 CAS CSCD 北大核心 2018年第3期475-480,共6页 Journal of Jilin University:Science Edition
基金 国家自然科学基金(批准号:11601435)
关键词 分数阶Hartree方程 阻尼/增益 全局存在性 fractional Hartree equation damping/gain global existence
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  • 1Feynman, R.P., Hibbs, A.R., Quantum Mechanics and Path Integrals, McGraw-Hill, New York, 1965.
  • 2Guo B., Wang L., Some Methods of Nonlinear Boundary Value Problem(Chinese), Zhongshan University Publishing House, Guangzhou, 1989.
  • 3Guo B., Nonlinear Evolution Equations(Chinese), Shanghai Scientic and Technological Education Publishing House, Shanghai, 1995.
  • 4Guo X., Xu M., Some physical applications of fractional Schrodinger equation, J. Math. Phys., 2006, 47: 082104.
  • 5Laskin, N., Fractional quantum mechanics and L~vy integrals, Phys. Left. A, 2000, 268: 298-305.
  • 6Laskin, N., Fractional quantum mechanics, Phys. Rev. E, 2000, 63: 3135.
  • 7Laskin, N., Fractional Schrodinger equation, Phys. Rev. E, 2002, 66: 056108.
  • 8Akrivis G D, Dougalis V A, Karakashian O A, Mckinney W R. Numerical Approximation of Singular Solution of the Damped Nonlinear SchrSdinger Equation. ENUMATH'97 (Heidelberg), River Edge, N J: World Scientific, 1998.
  • 9Barashenkov I V, Alexeeva N V, Zemlianaya E V. Two- and three-dimensional oscillons in nonlinear Faraday resonance. Phys Rev Lett, 2002, 89:104101-4.
  • 10Cazenave T. Semilinear Schr6dinger Equations. Courant Lecture Notes in Mathematics 10. Providence, RI: American Mathematical Society, 2003.

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