In the case of the regularization operator with Laplacian,numerical results show that the new method performs better than traditional meth-ods and yields steadily close-to-optimal resto.

Using the regularization operator and approach process and a series of prior estimates, the existence of the global weak solutions was proved under the conditions that the mobility neither equals to a constant nor satisfies velocity saturation.

In this paper,using the Tickhonov regularizer,we give a sufficient and necessary condition for the Moore-Penrose inverses T+_x being continuous,which plays an important role in the computation.

The universal expression of the relative dispersion,defined by 1/αN=D2N/〈N〉2,can be written in the form αN=αab ·exp(2Cab/〈N〉) The dispersion equation with the operator of renormalization group is not independent of the energy.

Adopting Lorentz-invariant coupling model of neutron n-antineutron ■ and neutral meson strong interaction,we made physical analysis and accurate calculation of the n-■ renormalization chain diagram propagator,and obtained the theoretical results.