The nonlinear interactions between the monochromatic wave have been considered by K. Matsunchi, who also proposed one class of the nonlinear Schrdinger equation system with wave operator. We also obtain the same type ...The nonlinear interactions between the monochromatic wave have been considered by K. Matsunchi, who also proposed one class of the nonlinear Schrdinger equation system with wave operator. We also obtain the same type of equations, which are satisfied by transverse velocity of higher frequency electron, as we study soliton in plasma physics. In this paper, under some condition we study the existence and nonexistence for this equations in the cases possessing different signs in nonlinear term.展开更多
Under the background of“Double-First Class”,the training mode of CDIO for application-oriented undergraduate for⁃eign language talents is to organize the second classroom of College English effectively through conce...Under the background of“Double-First Class”,the training mode of CDIO for application-oriented undergraduate for⁃eign language talents is to organize the second classroom of College English effectively through conception,optimize the structure of the second classroom of College English through design,improve the efficiency of the second classroom of College English through taking effective methods,and apply the knowledge learned by students in the classroom to practice through operation in or⁃der to improve the efficiency of students’ability of comprehensive application of English.展开更多
In this article, we study the Cauchy problem for the linearized spatially homogeneous non-cutoff Boltzamnn equation with Maxwellian molecules. By using the spectral decomposition, we solve the Cauchy problem with init...In this article, we study the Cauchy problem for the linearized spatially homogeneous non-cutoff Boltzamnn equation with Maxwellian molecules. By using the spectral decomposition, we solve the Cauchy problem with initial datum in the sense of distribution, which contains the dual space of a Gelfand-Shilov class. We also prove that this solution belongs to the Gelfand-Shilov space for any positive time.展开更多
文摘The nonlinear interactions between the monochromatic wave have been considered by K. Matsunchi, who also proposed one class of the nonlinear Schrdinger equation system with wave operator. We also obtain the same type of equations, which are satisfied by transverse velocity of higher frequency electron, as we study soliton in plasma physics. In this paper, under some condition we study the existence and nonexistence for this equations in the cases possessing different signs in nonlinear term.
文摘Under the background of“Double-First Class”,the training mode of CDIO for application-oriented undergraduate for⁃eign language talents is to organize the second classroom of College English effectively through conception,optimize the structure of the second classroom of College English through design,improve the efficiency of the second classroom of College English through taking effective methods,and apply the knowledge learned by students in the classroom to practice through operation in or⁃der to improve the efficiency of students’ability of comprehensive application of English.
基金supported by the Fundamental Research Funds for the Central Unversities and National Science Foundation of China(11171261and 11422106)
文摘In this article, we study the Cauchy problem for the linearized spatially homogeneous non-cutoff Boltzamnn equation with Maxwellian molecules. By using the spectral decomposition, we solve the Cauchy problem with initial datum in the sense of distribution, which contains the dual space of a Gelfand-Shilov class. We also prove that this solution belongs to the Gelfand-Shilov space for any positive time.
