Sökning: "weak compactness"
Visar resultat 1 - 5 av 8 avhandlingar innehållade orden weak compactness.
1. Two Problems on Existence and Approximation Related to the Boltzmann Equation
Sammanfattning : In this thesis, two different types of problems related to the Boltzmann equation of kinetic theory are studied. The first part is devoted to establishing consistency and convergence for discrete-velocity models of the Boltzmann equation. For a new such model, introduced by the author jointly with A. LÄS MER
2. Critical point theory with applications to semilinear problems without compactness
Sammanfattning : The thesis consists of four papers which all regard the study of critical point theory and its applications to boundary value problems of semilinear elliptic equations. More specifically, let Ω be a domain, and consider a boundary value problem of the form -L u + u = f(x,u) in Ω, and with the boundary condition u=0. LÄS MER
3. Homogenization of Partial Differential Equations using Multiscale Convergence Methods
Sammanfattning : The focus of this thesis is the theory of periodic homogenization of partial differential equations and some applicable concepts of convergence. More precisely, we study parabolic problems exhibiting both spatial and temporal microscopic oscillations and a vanishing volumetric heat capacity type of coefficient. LÄS MER
4. Some new results concerning boundedness and compactness for embeddings between spaces with multiweighted derivatives
Sammanfattning : This Doctoral Thesis consists of five chapters, which deal with a new Sobolev type function space called the space with multiweighted derivatives. This space is a generalization of the usual one dimensional Sobolev space. As basis for this space serves some differential operators containing weight functions. LÄS MER
5. Further Investigations of Convergence Results for Homogenization Problems with Various Combinations of Scales
Sammanfattning : This thesis is based on six papers. We study the homogenization of selected parabolic problems with one or more microscopic scales in space and time, respectively. LÄS MER