We consider the energy-critical stochastic cubic nonlinear Schrödinger equation on R4 with additive noise, and non-vanishing boundary conditions at spatial infinity. By viewing this as a perturbation to R4, we prove global well-posedness in energy space. Moreover, establish unconditional uniqueness of solutions

Meloidogyne incognita (Kofoid and White) Chitwood has been separated into four races (R l -R4) based on the ability of different populations to parasitize 'NC95' tobacco and 'Deltapine 16' cotton (7). Since the designation of races within this species, several workers have at tempted to characterize them on the basis of reproduction on a common host. Araujo et al. (1) compared the reproduction ...

We have developed a genetic system with which to replace oriC+ on the Escherichia coli chromosome with modified oriC sequences constructed on plasmids. Using this system we have demonstrated that chromosomal oriC can tolerate the insertion of a 2 kb fragment at the HindIII site between DnaA boxes R3 and R4, whereas the same insertion completely inactivates cloned oriC. We have further found tha...

The tree-level string effective action is known to contain quartic Riemann terms with coefficient $\zeta(3)\alpha'^3$. In the case of type II this first $\alpha'$ correction. We use requirement that reduced on a $d$-torus should have an $O(d,d)$ symmetry find B-field couplings up fifth order in fields. answer turns out surprisingly intricate structure.

1371 Stable On-Line Evolutionary Learning of NN-MLP Qiangfu Zhao Abstract| To design the nearest neighbor based multilayer perceptron (NN-MLP) e ciently, the author has proposed a non-genetic based evolutionary algorithm called the R4|rule. For o -line learning, the R4|rule can produce the smallest or nearly smallest networks with high generalization ability by iteratively performing four basic...