The Boutet de Monvel operators in variable Hölder–Zygmund spaces on $\mathbb{R}^{n}_+$

We consider Green operators from the Boutet de Monvel algebra in the Hölder–Zygmund spaces of variable smoothness on $\overline{\mathbb R}^{n}_+$. The order of smoothness depends on a point in the domain and may take negative values. The sufficient conditions of boundedness of the Boutet de Monvel operators are obtained.

Method (Stimulation Endorphin, Oxytosin and Sugestive) to Increase The Production of Breast Milk and Involution of Uters On Post Partum

This research uses quasi experiment post test only design. The study used consecutive sampling. The independent variable Method (Stimulation Endorphin,Oxytosin and Sugestive), dependent variable Smoothness of breast milk and Uteric Involution. data collection using observation sheets. The study population and sample were 30 respondents with purposive sampling technique. The results of the study of 30 respondents, 15 respondents were not given speos method therapy almost all respondents, namely 13 respondents not producing smooth milk (86.6%) and 10 respondents were abnormal Uterus (66.67%), while 15 respondents were given Method (Stimulation endorphin, oxytocin and suggestive) almost All respondents, 14 respondents, were producing breast milk smoothly (93.3%). T-test results obtained pvalue = 0,000 ≤ α = (0.05), so that Ha is accepted. There is an influence of Method (Stimulation endorphin, oxytocin and suggestive) to increase milk production and involution of the uterus in post partum

EUCLIDEAN DISTANCE TO A CLOSED SET AS A MINIMAX SOLUTION OF THE DIRICHLET PROBLEM FOR THE HAMILTON–JACOBI EQUATION

A combined (jointing analytical methods and computational procedures) approach to the construction of solutions in a class of boundary-value problems for a Hamiltonian-type equation is proposed. In the class of problems under consideration, the minimax (generalized) solution coincides with the Euclidean distance to the boundary set. The properties of this function are studied depending on the geometry of the boundary set and the differential properties of its boundary. Methods are developed for detecting pseudo-vertices of a boundary set and for constructing singular solution sets with their help. The methods are based on the properties of local diffeomorphisms and use partial one-sided limits. The effectiveness of the research approaches developed is illustrated by the example of solving a planar timecontrol problem for the case of a nonconvex target set with boundary of variable smoothness.