Abstract For a class of functionals having the ( p , q )-growth, we establish an improved range exponents for which Lavrentiev phenomenon does not occur. The proof is based on standard mollification argument and Young convolution inequality. Our contribution two-fold. First, observe that it sufficient to regularise only bounded functions. Second, exploit $$L^{\infty }$$ <mml:math xmlns:mml="htt...

Hidden Markov Model is a popular statisical method that is used in continious and discrete speech recognition. The probability density function of observation vectors in each state is estimated with discrete density or continious density modeling. The performance (in correct word recognition rate) of continious density is higher than discrete density HMM, but its computation complexity is very ...

in this paper, a positive definite semi-discrete mixed finite element method was presented for two-dimensional parabolic equations. in the new positive definite systems, the gradient equation and flux equations were separated from their scalar unknown equations.  also, the existence and uniqueness of the semi-discrete mixed finite element solutions were proven. error estimates were also obtaine...

background due to the importance and uniqueness of the characteristics of the health sector, one of the most important priorities of the ministry of health is measuring the efficiency and quality of services which are provided for the people who refer to the health sectors. in all health systems, responding to the needs and wishes of patients is a crucial priority. objectives the main purpose o...

In contrast to the classical discrete choice experiment, the respondent in a rank-order discrete choice experiment, is asked to rank a number of alternatives instead of the preferred one. In this paper, we study the information matrix of a rank order nested multinomial logit model (RO.NMNL) and introduce local D-optimality criterion, then we obtain Locally D-optimal design for RO.NMNL models in...

in proposition 2.6 in (g‎. ‎gruenhage‎, ‎a‎. ‎lutzer‎, ‎baire and volterra spaces‎, ‎textit{proc‎. ‎amer‎. ‎math‎. ‎soc.} {128} (2000)‎, ‎no‎. ‎10‎, ‎3115--3124) a condition that‎ ‎every point of $d$ is $g_delta$ in $x$ was overlooked‎. ‎so we‎ ‎proved some conditions by which a baire space is equivalent to a‎ ‎volterra space‎. ‎in this note we show that if $x$ is a‎ ‎monotonically normal $t_1$...

We consider the classical point vortex model in mean-field scaling regime, which velocity field experienced by a single is proportional to average of fields generated remaining vortices. show that if at some time associated sequence empirical measures converges renormalized $${\dot{H}}^{-1}$$ sense probability measure with density $$\omega ^0\in L^\infty ({\mathbb {R}}^2)$$ and having finite en...

This paper is concerned with the derivation and analysis of first-order necessary optimality conditions for a class multiobjective optimal control problems governed by an elliptic non-smooth semilinear partial differential equation. Using adjoint calculus inverse non-linear non-differentiable directional derivative solution map considered PDE, we extend concept strong stationarity to setting de...

Mathematical modeling of fluid flow in a porous medium is usually described by continuity equation and chosen constitutive law. The latter, depending on the problem at hand, may be nonlinear relation between fluid's pressure gradient velocity. actual shape this normally outset problem, even though, practice, experience velocities outside its range applicability. We propose here an adaptive mode...

In this paper, a positive definite semi-discrete mixed finite element method was presented for two-dimensional parabolic equations. In the new positive definite systems, the gradient equation and flux equations were separated from their scalar unknown equations.  Also, the existence and uniqueness of the semi-discrete mixed finite element solutions were proven. Error estimates were also obtaine...