Lipschitz stability for the electrical impedance tomography problem: the complex case

In this paper we investigate the boundary value problem {div(\gamma\nabla u)=0 in \Omega, u=f on \partial\Omega where $\gamma$ is a complex valued $L^\infty$ coefficient, satisfying a strong ellipticity condition. In Electrical Impedance Tomography, $\gamma$ represents the admittance of a conducting body. An interesting issue is the one of determining $\gamma$ uniquely and in a stable way from the knowledge of the Dirichlet-to-Neumann map $\Lambda_\gamma$. Under the above general assumptions this problem is an open issue. In this paper we prove that, if we assume a priori that $\gamma$ is piecewise constant with a bounded known number of unknown values, then Lipschitz continuity of $\gamma$ from $\Lambda_\gamma$ holds

Carleman estimates for the parabolic transmission problem and H\"older propagation of smallness across an interface

In this paper we prove a H\"older propagation of smallness for solutions to second order parabolic equations whose general anisotropic leading coefficient has a jump at an interface. We assume that the leading coefficient is Lipschitz continuous with respect to the parabolic distance on both sides of the interface. The main effort consists in proving a local Carleman estimate for this parabolic operator

A transmission problem on a polygonal partition: regularity and shape differentiability

We consider a transmission problem on a polygonal partition for the two-dimensional conductivity equation. For suitable classes of partitions we establish the exact behaviour of the gradient of solutions in a neighbourhood of the vertexes of the partition. This allows to prove shape differentiability of solutions and to establish an explicit formula for the shape derivative

Uniqueness and Lipschitz stability for the identification of Lam\'e parameters from boundary measurements

In this paper we consider the problem of determining an unknown pair $\lambda$, $\mu$ of piecewise constant Lam\'{e} parameters inside a three dimensional body from the Dirichlet to Neumann map. We prove uniqueness and Lipschitz continuous dependence of $\lambda$ and $\mu$ from the Dirichlet to Neumann map

Urban Agglomerations in the Regional Development: Theoretical, Methodological and Applied Aspects

The article focuses on the analysis of the major process of modern socio-economic development, such as the functioning of urban agglomerations. A short background of the economic literature on this phenomenon is given. There are the traditional (the concentration of urban types of activities, the grouping of urban settlements by the intensive production and labour communications) and modern (cluster theories, theories of network society) conceptions. Two methodological principles of studying the agglomeration are emphasized: the principle of the unity of the spatial concentration of economic activity and the principle of compact living of the population. The positive and negative effects of agglomeration in the economic and social spheres are studied. Therefore, it is concluded that the agglomeration is helpful in the case when it brings the agglomerative economy (the positive bene ts from it exceed the additional costs). A methodology for examination the urban agglomeration and its role in the regional development is offered. The approbation of this methodology on the example of Chelyabinsk and Chelyabinsk region has allowed to carry out the comparative analysis of the regional centre and the whole region by the main socio-economic indexes under static and dynamic conditions, to draw the conclusions on a position of the city and the region based on such socio-economic indexes as an average monthly nominal accrued wage, the cost of fixed assets, the investments into fixed capital, new housing supply, a retail turnover, the volume of self-produced shipped goods, the works and services performed in the region. In the study, the analysis of a launching site of the Chelyabinsk agglomeration is carried out. It has revealed the following main characteristics of the core of the agglomeration in Chelyabinsk (structure feature, population, level of centralization of the core) as well as the Chelyabinsk agglomeration in general (coefficient of agglomeration, index of agglomeration, coefficient of the development of the population, growth rates of agglomeration). The analysis of the internal environment of the agglomeration has shown that the industry of the majority of the cities-satellites is unprofitable, the space of the urban agglomeration is very heterogeneous. The research proves that the creation of the agglomeration will allow to solve the problems of the production diversification at the territory, to perform the effective land use, to optimize transport and housing-and-municipal infrastructure

AS PRÁTICAS DE INCENTIVO AO ALEITAMENTO MATERNO NA ATENÇÃO PRIMÁRIA À SAÚDE: UMA REVISÃO INTEGRATIVA DE LITERATURA

Trabalho de Conclusão (Residência). Universidade Federal de Santa Catarina. Comissão de Residência Multiprofissional e Uniprofissional em Saúde. Residência Multiprofissional em Saúde da Família.O aleitamento materno é reconhecido nacional e internacionalmente como o método mais seguro e eficaz para alimentar os bebês. Desta forma, torna-se importante conhecermos o que é produzido acerca disto, para que possamos identificar diferentes práticas que promovam o aleitamento materno. Sendo assim, traz o seguinte problema de pesquisa:"Qual a produção científica existente acerca do desenvolvimento de práticas de incentivo do aleitamento materno na Atenção Primária à Saúde?". Com abordagem qualitativa e construído na forma de Revisão Integrativa de Leitura, este estudo tem por objetivo analisar o que artigos científicos publicados de 2011 a 2016 relatam acerca das práticas para o incentivo do AM desenvolvidos na APS. Para o levantamento dos artigos foi utilizado o cruzamento dos descritores "Atenção Primária de Saúde' e "Aleitamento Materno", na base de dados Biblioteca Virtual de Saúde e a amostra constitui-se de doze artigos. Estes foram analisados de acordo com a Análise Temática de Conteúdo. Os resultados foram apresentados em duas categorias: Práticas pré-exisentes de apoio e incentivo ao aleitamento materno; e Novas praticas e/ou aperfeiçoamento de práticas instituídas de apoio e incentivo ao aleitamento materno. O estudo traz os seguintes pontos como relevantes: surgimento e difusão de práticas de incentivo e promoção do aleitamento materno na Atenção Primária à Saúde; necessidade de qualificação profissional para o desenvolvimento das práticas; poucos estudos que relacionem diretamente a implantação destas práticas com o aumento nos índices de aleitamento materno, bem como incentivar o desenvolvimento de novas

Stable determination of polyhedral interfaces from boundary data for the Helmholtz equation

We study an inverse boundary value problem for the Helmholtz equation using the Dirichlet-to-Neumann map as the data. We consider piecewise constant wavespeeds on an unknown tetrahedral partition and prove a Lipschitz stability estimate in terms of the Hausdorff distance between partitions