Sökning: "Johan Thim"
Hittade 3 avhandlingar innehållade orden Johan Thim.
1. Riesz potentials and Riesz transforms in local Lp-spaces
Sammanfattning : We consider the following equation for the Riesz potential of order one:The analysis is done in local Lp and Sobolev spaces, where the topologies are described by a family of semi-norms depending on a positive real parameter. Uniqueness and existence results are proved and asymptotic properties of solutions near the origin are established. LÄS MER
2. Simple Layer Potentials on Lipschitz Surfaces: An Asymptotic Approach
Sammanfattning : This work is devoted to the equationwhere S is the graph of a Lipschitz function φ on RN with small Lipschitz constant, and dS is the Euclidian surface measure. The integral in the left-hand side is referred to as a simple layer potential and f is a given function. LÄS MER
3. Small-amplitude steady water waves with vorticity
Sammanfattning : The problem of describing two-dimensional traveling water waves is considered. The water region is of finite depth and the interface between the region and the air is given by the graph of a function. We assume the flow to be incompressible and neglect the effects of surface tension. LÄS MER