Sökning: "Mathematical analysis"
Visar resultat 6 - 10 av 1019 avhandlingar innehållade orden Mathematical analysis.
6. Linear and Non-linear Deformations of Stochastic Processes
Sammanfattning : This thesis consists of three papers on the following topics in functional analysis and probability theory: Riesz bases and frames, weakly stationary stochastic processes and analysis of set-valued stochastic processes. In the first paper we investigate Uniformly Bounded Linearly Stationary stochastic processes from the point of view of the theory of Riesz bases. LÄS MER
7. A pseudoparabolic reaction-diffusion-mechanics system : Modeling, analysis and simulation
Sammanfattning : In this thesis, parabolic-pseudoparabolic equations are derived coupling chemical reactions, diffusion, flow and mechanics in a heterogeneous medium using the framework of mixture theory. The weak solvability in 1-D of the obtained models is studied. LÄS MER
8. Pluripolar Sets and Pluripolar Hulls
Sammanfattning : For many questions of complex analysis of several variables classical potential theory does not provide suitable tools and is replaced by pluripotential theory. The latter got many important applications within complex analysis and related fields. Pluripolar sets play a special role in pluripotential theory. LÄS MER
9. Carlson type inequalities and their applications
Sammanfattning : This thesis treats inequalities of Carlson type, i.e. inequalities of the form∥f∥x≤K∏i=1m∥f∥Aiθiwhere ∑i=1mθi =1 and K is some constant, independent of the function f. X and Ai are normed spaces, embedded in some Hausdorff topological vector space. LÄS MER
10. Simple Layer Potentials on Lipschitz Surfaces: An Asymptotic Approach
Sammanfattning : This work is devoted to the equationwhere S is the graph of a Lipschitz function φ on RN with small Lipschitz constant, and dS is the Euclidian surface measure. The integral in the left-hand side is referred to as a simple layer potential and f is a given function. LÄS MER