Fréchet Differentiability of Parameter-Dependent Analytic Semigroups
نویسندگان
چکیده
منابع مشابه
Averaged controllability of parameter dependent conservative semigroups
We consider the problem of averaged controllability for parameter depending (either in a discrete or continuous fashion) control systems, the aim being to find a control, independent of the unknown parameters, so that the average of the states is controlled. We do it in the context of conservative models, both in an abstract setting and also analysing the specific examples of the wave and Schrö...
متن کاملOn the Economic Meaning of Machina's Fréchet Differentiability Assumption
This note shows that Machina's (1982) assumption that preferences over lotteries are smooth has some economic implications. We show that Fr echet di erentiability implies that preferences represent second order risk aversion (as well as conditional second order risk aversion). This implies, among other things, that decision makers buy full insurance only at the absence of marginal loading. We a...
متن کاملFréchet differentiability in statistical inference for time series
Asymptotic results on distributional behavior of robust estimates in stationary time series models are complex on both technical and assumptional side compare for instance L. Mancini, E. Ronchetti, F. Trojani (2005) and N. Muler, D. Pena, V. J. Yohai (2009). Considering the fact that econometric time series tend to be stationary rather than are stationary and that testing unit root hypotheses i...
متن کاملOn Analytic Integrated Semigroups
The known definition of an analytic n-times integrated semigroup is reconsidered and one superfluous condition is removed. It is proved that every densely defined generator of an exponentially bounded, analytic n-times integrated semigroup of angle α with the appropriate growth rate at zero is also the generator of an analytic C0-semigroup of the same angle. AMS Mathematics Subject Classificati...
متن کاملIntegrodifferential Equations with Analytic Semigroups
In this paper we study a class of integrodifferential equations considered in an arbitrary Banach space. Using the theory of analytic semigroups we establish the existence, uniqueness, regularity and continuation of solutions to these integrodifferential equations.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1999
ISSN: 0022-247X
DOI: 10.1006/jmaa.1998.6249