Sökning: "parabolic equations"
Visar resultat 1 - 5 av 77 avhandlingar innehållade orden 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. Parabolic equations with low regularity
Sammanfattning : In this work we study a variational method for treating parabolic equations that yields new results for non-linear equations with low regularity on source and boundary data. We treat mainly strongly parabolic quasilinear equations and systems in divergence form. 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. 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
5. Spatial and Physical Splittings of Semilinear Parabolic Problems
Sammanfattning : Splitting methods are widely used temporal approximation schemes for parabolic partial differential equations (PDEs). These schemes may be very efficient when a problem can be naturally decomposed into multiple parts. LÄS MER