Search for dissertations about: "Metric Space"
Showing result 1  5 of 53 swedish dissertations containing the words Metric Space.

1. Space Plasma Dynamics : Instabilities, Coherent Vortices and Covariant Parametrization
Abstract : The magnetospheric cusps are two funnellike regions of Earth's magnetosphere where solar wind plasma can have direct access to the ionosphere. The cusps are very dynamic regions where waveparticle interactions continuously take place and redistribute energy among different particle populations. READ MORE

2. SobolevType Spaces : Properties of Newtonian Functions Based on QuasiBanach Function Lattices in Metric Spaces
Abstract : This thesis consists of four papers and focuses on function spaces related to firstorder analysis in abstract metric measure spaces. The classical (i.e., Sobolev) theory in Euclidean spaces makes use of summability of distributional gradients, whose definition depends on the linear structure of Rn. READ MORE

3. The Double Obstacle Problem on Metric Spaces
Abstract : During the last decade, potential theory and pharmonic functions have been developed in the setting of doubling metric measure spaces supporting a pPoincar´e inequality. This theory unifies, and has applications in several areas of analysis, such as weighted Sobolev spaces, calculus on Riemannian manifolds and Carnot groups, subelliptic differential operators and potential theory on graphs. READ MORE

4. Newtonian Spaces Based on QuasiBanach Function Lattices
Abstract : The traditional firstorder analysis in Euclidean spaces relies on the Sobolev spaces W1,p(Ω), where Ω ⊂ Rn is open and p ∈ [1, ∞].The Sobolev norm is then defined as the sum of Lp norms of a function and its distributional gradient.We generalize the notion of Sobolev spaces in two different ways. READ MORE

5. Optimal and Hereditarily Optimal Realizations of Metric Spaces
Abstract : This PhD thesis, consisting of an introduction, four papers, and some supplementary results, studies the problem of finding an optimal realization of a given finite metric space: a weighted graph which preserves the metric's distances and has minimal total edge weight. This problem is known to be NPhard, and solutions are not necessarily unique. READ MORE