Sökning: "harmonic functions"
Visar resultat 1 - 5 av 67 avhandlingar innehållade orden harmonic functions.
1. Harmonic measures
Sammanfattning : This thesis uses both analytic and probabilistic methods to study continuous and discrete problems. The main areas of study are the asymptotic properties of p-harmonic measure, and various aspects of the square root of the Poisson kernel. Fix a domain and a boundary point, subject to certain regularity conditions. LÄS MER
2. A Study of Smooth Functions and Differential Equations on Fractals
Sammanfattning : In 1989 Jun Kigami made an analytic construction of a Laplacian on the Sierpiński gasket, a construction that he extended to post critically finite fractals. Since then, this field has evolved into a proper theory of analysis on fractals. The new results obtained in this thesis are all in the setting of Kigami's theory. LÄS MER
3. p-harmonic functions near the boundary
Sammanfattning : .... LÄS MER
4. Boundary singularities of plurisubharmonic functions
Sammanfattning : We study the Perron–Bremermann envelope P(μ, φ):=sup{u(z) ; u ∈ PSH(Ω), (ddcu)n≥ μ, u^* ≤ φ} on a B-regular domain Ω. Such envelopes occupy a central position within pluripotential theory as they, for suitable μ and φ harmonic and continuous on the closure of Ω, constitute unique solutions to the Dirichlet problem for the complex Monge–Ampère operator. LÄS MER
5. Nonlinear Structural Identification Using a Multi-Harmonic Frequency Response Functions
Sammanfattning : In industrial structural dynamics problems, linear FE-models commonly serve to represent the global structural behavior. However, when test data are available they often show evidence of nonlinear dynamic characteristics. In that case, an initial linear model may be judged insufficient in representing the dynamics of the structure. LÄS MER