Sökning: "degenerate parabolic"
Visar resultat 1 - 5 av 9 avhandlingar innehållade orden degenerate parabolic.
1. Boundary Estimates for Solutions to Parabolic Equations
Sammanfattning : This thesis concerns the boundary behavior of solutions to parabolic equations. It consists of a comprehensive summary and four scientific papers. The equations concerned are different generalizations of the heat equation.Paper I concerns the solutions to non-linear parabolic equations with linear growth. LÄS MER
2. On parabolic equations of Kolmogorov-Fokker-Planck type
Sammanfattning : In this thesis solutions to Kolmogorov-Fokker-Planck type equations are studied. It consists of a comprehensive summary and four scientific articles.In the first article a potential theory for certain strongly degenerate parabolic operators in unbounded domains of Lipschitz type is developed. LÄS MER
3. Studies of the Boundary Behaviour of Functions Related to Partial Differential Equations and Several Complex Variables
Sammanfattning : This thesis consists of a comprehensive summary and six scientific papers dealing with the boundary behaviour of functions related to parabolic partial differential equations and several complex variables.Paper I concerns solutions to non-linear parabolic equations of linear growth. LÄS MER
4. Obstacle Problems for Green Potentials and for Parabolic Quasiminima
Sammanfattning : The thesis consists of two parts. In the first part pure potential theoretic methods are employed to study the obstacle problem connected with a uniformly elliptic second-order differential operator in divergence form. Regular points of the obstacles are characterized by the classical Wiener criterion. LÄS MER
5. Some developments of the homogenization theory and related questions
Sammanfattning : This thesis is mainly devoted to homogenization theory and it consists of an introduction, five papers and two conference proceedings. The introduction gives an elementary presentation of the basic ideas in homogenization theory, serves as an overview of the field and points out where the results of this thesis fit in. LÄS MER