Search for dissertations about: "Yulia Koroleva"
Found 2 swedish dissertations containing the words Yulia Koroleva.
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1. Integral inequalities of Hardy and Friedrichs types with applications to homogenization theory
Abstract : This PhD thesis deals with some new integral inequalities of Hardy and Friedrichs types in domains with microinhomogeneous structure in a neighborhood of the boundary. The thesis consists of six papers (Paper A -- Paper F) and an introduction, which put these papers into a more general frame and which also serves as an overview of this interesting field of mathematics. READ MORE
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2. Some new Friedrichs-type inequalities in domains with microinhomogeneous structure
Abstract : This Licentiate thesis is devoted to derive and discuss some new Friedrichs-type inequalities for functions, which belong to the Sobolev space $H^1$ in domains with microinhomogeneous structure and which vanish on a part of the boundary. The classical Friedrics inequality holds for functions from the space $\mathop{H^{\smash 1}}\limits^{\circ}$ with a constant depending only on the measure of the domain. READ MORE
