Sökning: "regularity"
Visar resultat 6 - 10 av 141 avhandlingar innehållade ordet regularity.
6. Propagation of singularities for pseudo-differential operators and generalized Schrödinger propagators
Sammanfattning : In this thesis we discuss different types of regularity for distributions which appear in the theory of pseudo-differential operators and partial differential equations. Partial differential equations often appear in science and technology. LÄS MER
7. Properties of wave-front sets and non-tangential convergence
Sammanfattning : In this thesis we consider regularity properties for solutions to partial differential equations and pseudo-differential equations. The thesis mainly concerns wave-front sets and micro-local properties. LÄS MER
8. The Double Obstacle Problem on Metric Spaces
Sammanfattning : During the last decade, potential theory and p-harmonic functions have been developed in the setting of doubling metric measure spaces supporting a p-Poincar´e inequality. This theory unifies, and has applications in several areas of analysis, such as weighted Sobolev spaces, calculus on Riemannian manifolds and Carnot groups, subelliptic differential operators and potential theory on graphs. LÄS MER
9. Finite element approximation of the deterministic and the stochastic Cahn-Hilliard equation
Sammanfattning : This thesis consists of three papers on numerical approximation of the Cahn-Hilliard equation. The main part of the work is concerned with the Cahn-Hilliard equation perturbed by noise, also known as the Cahn-Hilliard-Cook equation. LÄS MER
10. Regularity and boundary behavior of solutions to complex Monge–Ampère equations
Sammanfattning : In the theory of holomorphic functions of one complex variable it is often useful to study subharmonic functions. The subharmonic can be described using the Laplace operator. When one studies holomorphic functions of several complex variables one should study the plurisubharmonic functions instead. LÄS MER