We present a blow-up rate estimate for solution to the parabolic Gross-Pitaevskii and related systems on entire space with Sobolev subcritical nonlinearity. extend results of [Y. Giga, S. Matsui, Sasayama, Indiana Univ. Math. J., {53} (2004), 483--514] systems.

Expected utility functions are limited to second-order (conditional) risk aversion, while non-expected utility functions can exhibit either …rst-order or second-order (conditional) risk aversion. We extend the concept of orders of conditional risk aversion to orders of conditional dependent risk aversion. We show that …rst-order conditional dependent risk aversion is consistent with the framewo...

In this study, six laser radiation (488 nm/40 mW, 514 nm/15 532 nm/20 552 660 nm/ 75 and at 785 nm/70 mW) were tested on the aqueous extracts of leaves Plantago lanceolata L. to compare extraction efficacy antioxidant cell viability effects in vitro. Briefly, comparison with control extract, 488, 514, 532, nm revealed small acquisitions total extractible compounds samples (up 6.52%; 488 also mi...