We consider the mixed local-nonlocal semi-linear elliptic equations driven by superposition of Brownian and Lévy processes $$\begin{aligned} \left\{ \begin{array}{ll} - \Delta u + (-\Delta )^s = g(x,u) &{} \text {in } \Omega , \\ u=0 \mathbb {R}^n\backslash . \end{array} \right. \end{aligned}$$ Under mild assumptions on nonlinear term g, we show $$L^\infty $$ boundedness any weak solution (eith...

For the purpose of solving the problems of user repeated logon from various kinds of Application which based on hybrid architecture and in different domains, single signon architecture is proposed. On the basis of analyzing the advantages and disadvantages of existing single sign-on models, combined with the key technology like Web Service, Applet and reverse proxy, two core problems such as si...

Hearing someone refer to themselves in the third person may seem "wacky", but you may be surprised to learn that it can actually be pretty helpful to the person doing it. Some people find that speaking in third person improves their self-esteem, their ability to perform well under stress, to manage their emotions more favorably, and to think through complex situations in a more rational and cal...

We establish the local well-posedness in H(S) with any s > 72 for a modified Camassa-Holm equation derived as the EPDiff equation with respect to the H(S) metric, and obtain the global existence of the weak solution in H(S) under some sign assumption on the initial values and prove the convergence of the corresponding finite particle approximation method.

Hearing someone refer to themselves in the third person may seem "wacky", but you may be surprised to learn that it can actually be pretty helpful to the person doing it. Some people find that speaking in third person improves their self-esteem, their ability to perform well under stress, to manage their emotions more favorably, and to think through complex situations in a more rational and cal...

Hearing someone refer to themselves in the third person may seem "wacky", but you may be surprised to learn that it can actually be pretty helpful to the person doing it. Some people find that speaking in third person improves their self-esteem, their ability to perform well under stress, to manage their emotions more favorably, and to think through complex situations in a more rational and cal...

Hearing someone refer to themselves in the third person may seem "wacky", but you may be surprised to learn that it can actually be pretty helpful to the person doing it. Some people find that speaking in third person improves their self-esteem, their ability to perform well under stress, to manage their emotions more favorably, and to think through complex situations in a more rational and cal...

Hearing someone refer to themselves in the third person may seem "wacky", but you may be surprised to learn that it can actually be pretty helpful to the person doing it. Some people find that speaking in third person improves their self-esteem, their ability to perform well under stress, to manage their emotions more favorably, and to think through complex situations in a more rational and cal...

The thermal diffusion behavior of acetone/water and dimethylsulfoxide(DMSO)/water mixtures has been experimentally investigated by a transient holographic grating technique named thermal diffusion forced Rayleigh scattering (TDFRS). For both systems a sign change of the Soret coefficient S(T) with varying water content has been predicted by simulations [C. Nieto Draghi et al., J. Chem. Phys. 12...

Hearing someone refer to themselves in the third person may seem "wacky", but you may be surprised to learn that it can actually be pretty helpful to the person doing it. Some people find that speaking in third person improves their self-esteem, their ability to perform well under stress, to manage their emotions more favorably, and to think through complex situations in a more rational and cal...