This dissertation is organized into four chapters: an introduction followed by three chapters, each based on one of three separate papers. In Chapter 2 we consider gradient descent equations for energy functionals of the type [mathematical equation] where A is a second-order uniformly elliptic operator with smooth coefficients. We consider the gradient descent equation for S, where the gradient is an element of the Sobolev space H[superscipt beta], [beta is an element of](0, 1), with a metric that depends on A and a positive number [gamma] > sup |V₂₂|. The main result of Chapter 2 is a weak comparison principle for such a gradient flow. We extend our methods to the case where A is a fractional power of an elliptic operator, and we provide an application to the Aubry-Mather theory for partial differential equations and pseudo-differential equations by finding plane-like minimizers of the energy functional. In Chapter 3 we investigate the differentiability of the minimal average energy associated to the functionals [mathematical equation] using numerical and perturbation methods. We use the Sobolev gradient descent method as a numerical tool to compute solutions of the Euler-Lagrange equations with some periodicity conditions; this is the cell problem in homogenization. We use these solutions to determine the minimal average energy as a function of the slope. We also obtain a representation of the solutions to the Euler-Lagrange equations as a Lindstedt series in the perturbation parameter [epsilon], and use this to confirm our numerical results. Additionally, we prove convergence of the Lindstedt series. In Chapter 4 we present a method for determining the stability of a class of stochastically forced ordinary differential equations, where the forcing term can be obtained by passing white noise through a filter of arbitrarily high degree. We use the Fokker-Planck equation to write a partial differential equation for the second moments, which we turn into an eigenvalue problem for a second-order differential operator. We develop ladder operators to determine analytic expressions for the eigenvalues and eigenfunctions of this differential operator, and thus determine the stability. / text

This thesis explores the cultural history of microfilm and microphotography during the period 1900–1970, thus contributing to the broader field of research on the history of 20th century information management in the era before digital technology. The aim is to study how microfilm repeatedly, in various contexts and over time, was described and perceived as a new medium. To this end the book examines and analyses the plans, dreams and visionary prognostics put forth by various historical actors with an interest in microfilm – using case studies situated at different junctures and periods (1904–1910, 1937, 1940–1952, 1950–1970), while also ranging geographically from the United States to Europe and Sweden. From a theoretical and methodological point of view the thesis seeks to understand the historical formation of microfilm by developing the notions of configuration and reconfiguration, employing a perspective which emphasizes the continuous ontological interplay and interdependence of materiality and discourse in the formation of media. Thus, at the empirical level, the analysis takes into account realized technological materialities as well as unrealized imaginary articulations, dreams and expectations integral to the configuration of microfilm within a broader culture of paperwork. As a result of this approach the study draws on scientific texts and articles in journals, as well as newspaper reports, commercial messages, ads, handbooks and various archival documents. The analysis reveals a close relationship between microfilm and experiences of entropy connected to information systems based on paper and paperwork. It is argued that, within the dreams and plans that are studied, the most important function of microfilm was to regulate noise, decay and disorder associated with the materiality of paper – through ordering, operating on and modifying the capacities of paper media. It is also noted that microfilm was perceived and articulated as a new medium over a long period of time, even though very little changed at the technological level. From a historiographical point of view, it is thus argued, microfilm can be characterized as a simultaneously continuous and discontinuous phenomenon, taking part in a history that unfolded through repetitions, returns and non-linear steps rather than along an uninterrupted, linear path.

How to price your offering is one of the main managerial decision issues today and is alarmingly often not grounded in necessary market and cost research. Pricing is a complex topic, dependent on a multitude of internal and external factors, which makes pricing practice and strategy alignment even more difficult. As a simplifying measure, pricing practices are commonly categorized into three categories: cost-based, competition-based and value-based pricing, of which value-based pricing is considered the superior practice by scholars. Consequently, the issue of how to adopt value-based pricing and how to actually price according to value is pertinent and a main focus of this thesis. What comprises perceived customer value, how a firm creates and captures value, and how a firm chooses to formulate the customer value proposition in order to communicate the generated value are all questions that this thesis investigates and attempts to answer. Furthermore, the effects of the customer-supplier relationship on pricing and change management aspects of a transition to value-based pricing are also investigated and analyzed. In order to answer the research purpose and accompanying research questions, a qualitative single case-study was conducted. The case company was a leading company in the TIC-market, who just recently had started discussing implementing value-based pricing and was therefore deemed as an appropriate case for this study. Empirical data was gathered through semi-structured interviews with the employees as well as the customers of the case company. The analysis of the empirical data in conjunction with the theoretical framework led to a revised analytical model that attempts to explain the relations and correlations of the different concepts discussed in this thesis, as well as conclusions regarding the aforementioned research questions. This study concludes that the common value drivers are Quality, Delivery reliability, Delivery time, Price, Geographical location, Relationship and communication, Customization. Additionally, the study concludes that the alignment of pricing practice and strategy is heavily dependent on internal and external awareness, and it is of utmost importance for a firm engaging in value-based pricing to know not only their customer and market, but also their own capabilities and strengths. Regarding how to formulate the customer value proposition, the study concludes that it should be customized for the specific customer and have a resonating focus with elements of points of difference. Lastly, the study details the challenges that a firm transitioning to a value-based pricing practice might encounter, and the suggestive solutions to these obstacles.