Sökning: "Uniformly parabolic equations"
Hittade 5 avhandlingar innehållade orden Uniformly parabolic equations.
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. 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
3. 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
4. Boundary Behavior of p-Laplace Type Equations
Sammanfattning : This thesis consists of six scientific papers, an introduction and a summary. All six papers concern the boundary behavior of non-negative solutions to partial differential equations.Paper I concerns solutions to certain p-Laplace type operators with variable coefficients. LÄS MER
5. Homogenization of some linear and nonlinear partial differential equations
Sammanfattning : In this thesis is studied two-scale convergence for sequences of linear and nonlinear evolution problems. In particular homogenization procedures, correctors and a numerical algorithm for such problems are studied. The main results are the following: We prove a crucial compactness results of two-scale convergence type. LÄS MER