Inverse problem for the wave equation : partial data and novel boundary sources

An inverse problem for the wave equation is a mathematical formulation of the problem to convert measurements of sound waves to information about the wave speed governing the propagation of the waves. This doctoral thesis extends the theory on the inverse problems for the wave equation in cases with partial measurement data and also considers detection of discontinuous interfaces in the wave speed. A possible application of the theory is obstetric sonography in which ultrasound measurements are transformed into an image of the fetus in its mother's uterus. The wave speed inside the body can not be directly observed but sound waves can be produced outside the body and their echoes from the body can be recorded. The present work contains five research articles. In the first and the fifth articles we show that it is possible to determine the wave speed uniquely by using far apart sound sources and receivers. This extends a previously known result which requires the sound waves to be produced and recorded in the same place. Our result is motivated by a possible application to reflection seismology which seeks to create an image of the Earth s crust from recording of echoes stimulated for example by explosions. For this purpose, the receivers can not typically lie near the powerful sound sources. In the second article we present a sound source that allows us to recover many essential features of the wave speed from the echo produced by the source. Moreover, these features are known to determine the wave speed under certain geometric assumptions. Previously known results permitted the same features to be recovered only by sequential measurement of echoes produced by multiple different sources. The reduced number of measurements could increase the number possible applications of acoustic probing. In the third and fourth articles we develop an acoustic probing method to locate discontinuous interfaces in the wave speed. These interfaces typically correspond to interfaces between different materials and their locations are of interest in many applications. There are many previous approaches to this problem but none of them exploits sound sources varying freely in time. Our use of more variable sources could allow more robust implementation of the probing.

Uutta, vanhaa ja lainattua : Tampereen Kaupunkilähetyksen kristillissosiaalisen työn asemoituminen hyvinvointivaltion rakentumisessa vuosina 1939−1973

The main purpose of this study was to provide a full account of the Christian social work carried out at the Tampere City Mission (TCM) as well as the Missions sphere of operations from the Second World War to the early 1970s, comprising a period of significant change. The study consists of charting the processes of change and connections within the activities of the TCM and how examining these were linked to the general tendencies of the period, in lay work, social work, professionalization and the representation of gender. The positioning of the activities is described on the basis of these tendencies. The main sources for the study were the archives of the Mission, for example the minutes of meetings, correspondences as well as annual reports, and the archives of its partners, such as the City of Tampere, the Evangelical Lutheran parishes of Tampere and the State Welfare Administration. The archives of the Helsinki, Turku and Stockholm Missions supplied comparison reference and other material. In particular, social welfare and Christian social work technical journals of were used as printed sources. The principal method used was the genetic method of historiology. The research subject was also evaluated from the point of view of third sector research in addition to that of professionalization studies and gender studies. By the beginning of the research period, the TCM had turned more and more dedicatedly into a multipurpose social service organization maintaining social services such as old people s homes and children´s homes. This development continued, even though new areas of activity emerged and older ones fell into disuse. Social innovations sprang up, marriage counseling being one of them. On the national level, the TCM pioneered the provision of sheltered industrial work for intellectually disabled persons as well as housing services for them. As new activities were initiated, they overlapped with the established ones, and the TCM handed some of its child protection functions over to the municipality, in accordance with the current adaptation theory. The use of its own property to produce ever-changing social services may be the reason why the association s work continued on with vitality. Functional networks and political aid in the field of social services also bolstered the association. As in other Nordic countries, nonprofit organizations served as partners rather than competitors, with the State establishing institutional welfare arrangements. In the 1960s the municipal takeover of social services impacted the TCM activities. Rules for government subsidies and municipal allowances were not well established; hence these funds were not easily available, making improvements difficult. The TCM was a community in which women had a relatively strong position and an opportunity to make a difference. Female staff were reasonably equal to men, and women worked as heads of a several institutions. Care work employed a number of men, which went against the traditional segregation of labour between the sexes. The TCM s operations were from early on very professionalized, and were developed with particular care. Keywords: Christian social work, third sector, professionalization, gender

Hyvinvointivaltion läpimurto : Pienviljelyhegemonian rapautumisen, kansalaisliikehdinnän ja poliittisen murroksen keskinäiset suhteet suomalaisessa yhteiskunnassa 1950-luvun loppuvuosina

A Breakthrough of Welfare State. The inter-relationships of the civic movement, political transformation, and eroding of a hegemony based on small scale farming in the Finnish society in the late 1950's. The unusually rapid and powerful structural change; the non-parliamentary civic movements of 1956 - 1963; and the left majority in the Finnish parliament between 1958 - 1962 all took place as the Finnish welfare state started to develop. The aim of my research is to analyse the inter-relationships of these processes. The research describes the way the former semi self-sufficient, semi-proletarian and labour-intensive form of production - a simple and discriminatory system in itself - made it possible for the majority of the population to survive through hard work. For some it even provided a possibility to prosper. The waning vitality of semi self-sufficiency and small scale agriculture triggered a political ferment and started a period of searching for something new. The process was so intense that it broke up most of the parties and tore down the old consensus that was based on the power of economic and political elite. The most crucial battle of the great transformation was waged over the nature of the state: Should we build a welfare state and construct social security systems, or should we revert to the old night watchman state and, for example, cancel the modest forms of redistribution of income carried out in the 1950's? The people joining the civic movements were either cottagers of the impoverishing countryside or, quite often, people who had come from the countryside and thus had grown up under conditions of some form of solidarity that included taking care of one's own family. The Finnish social insurance developed in the midst of a change in the structure of production of the society, and it became a compromise to satisfy the needs of both the waning society of small scale agriculture and the rising proletarian society based on wage labour. The hodgepodge of political schemes and use of power became a battle between different notions of the economy and the state; the distribution of national income; and the position of Finland in the international context. This battle created a shape of an interregnum - a period of transformation including two notions of society, two alternative paths for the future and the logic of a correctional move. The transformation of Finland from a poor developing country into a prosperous society has been praised as a success story. In 1956 - 1959, when the old form of governance based on the interests of small scale agriculture and wood processing industry was in decay, and when the future seemed uncertain, the projects to reduce social benefits and efforts to distribute national income even more unequally than before led to a powerful counter-movement by citizens and started an hegemonic change and a equal socia development.

Ale jaskkot eatnigiella : Alkuperäiskansaliikkeen ja saamen kielen merkitys saamelaisten identiteetille

This study examines the Sámi people and the construction of the Sámi identity and the role of language in the cross-border Sámi movement within the context of the international indigenous movement and discourse between 1962 and 2008. The Sámi movement began as a reaction to state assimilation policies. This led to the birth of indigenous processes strengthening the Sámi cultures and languages. Activities across borders and the ethnopolitical processes in each of the Nordic countries in question also formed the basis of the internationalization of the Sámi people. The discourse on indigenous peoples has grown into a question of human rights, which is examined in different national and international contexts. The study is based on ethnographic data that has been collected via interviews, questionnaires and participant observation with the researched people in different meetings and events. Archive and newsprint material are also used. The approach of the study is auto-ethnographic. The post-colonial theories used in the study strive to destabilize power relations and the distinctions of otherness produced by colonialism, and to reclaim both one's own culture and language in the context of the indigenous movement. A standard model for this type of approach was created by Edward W. Said in his 1978 work Orientalism. The central concepts of the analysis are decolonization, otherness, ethnicity and identity. The dissertation consists of four published articles and an introduction. The subject matter is analyzed on three levels: global, European and Nordic. On the global level, the results demonstrate that the indigenous movement has constructed a new understanding of indigenousness with new rights. International treaties have facilitated the unification of new concepts and rights, such as the right to self-determination and language, also helping in transforming them into rights of the Sámi people on a national level. On the Nordic level, aligning the Sámi culture with indigenous discourse became significant for the process of developing the Sámi identity in the Sámi movement. In this process, the Sámi movement made use of Sámi languages in order to mobilize groups of people and to construct relatedness between different Sámi groups. The realization that one s own language is significant to one's culture has resulted in recreating the vitality, visibility and the legitimation of language in society more generally. The migration of the Sámi people from their traditional territories to increasingly multi-ethnic urban areas alters one's relationship to one's own community as the relationship to cultural traditions changes. Among the urban Sámi, who form a group of ‘new Sáminess’, linguistic discrimination and assimilation continue because of the lack of legislative and other effective language policy measures to promote the learning and use of the Sámi language.