Sökning: "Lipschitz domain"

Visar resultat 6 - 10 av 10 avhandlingar innehållade orden Lipschitz domain.

  1. 6. Boundary Behavior of p-Laplace Type Equations

    Författare :Benny Avelin; Kaj Nyström; Steve Hofmann; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; p-Laplace; Boundary Harnack inequality; A-harmonic; Ahlfors regularity; NTA-domains; Martin boundary; Reifenberg flat; Approximable by Lipschitz graphs; Subelliptic; Carleson estimate; Mathematics; Matematik;

    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

  3. 7. Characterisations of function spaces on fractals

    Författare :Mats Bodin; Umeå universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; function spaces; wavelets; bases; fractals; triangulations; iterated function systems; MATHEMATICS; MATEMATIK;

    Sammanfattning : This thesis consists of three papers, all of them on the topic of function spaces on fractals.The papers summarised in this thesis are:Paper I Mats Bodin, Wavelets and function spaces on Mauldin-Williams fractals, Research Report in Mathematics No. 7, Umeå University, 2005. LÄS MER

  4. 8. An alternating iterative procedure for the Cauchy problem for the Helmholtz equation

    Författare :Lydie Mpinganzima; Vladimir Kozlov; Bengt-Ove Turesson; Fredrik Berntsson; Börje Nilsson; Linköpings universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

    Sammanfattning : Let  be a bounded domain in Rn with a Lipschitz boundary Г divided into two parts Г0 and Г1 which do not intersect one another and have a common Lipschitz boundary. We consider the following Cauchy problem for the Helmholtz equation:where k, the wave number, is a positive real constant, аv denotes the outward normal derivative, and f and g are specified Cauchy data on Г0. LÄS MER

  5. 9. Approximation of Optimally Controlled Ordinary and Partial Differential Equations

    Författare :Mattias Sandberg; Anders Szepessy; Nils-Henrik Risebro; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; MATHEMATICS; MATEMATIK;

    Sammanfattning : In this thesis, which consists of four papers, approximation of optimal control problems is studied. In Paper I the Symplectic Pontryagin method for approximation of optimally controlled ordinary differential equations is presented. LÄS MER

  7. 10. Asymptotic and universal spectral estimates with applications in many-body quantum mechanics and spectral shape optimization

    Författare :Simon Larson; Ari Laptev; Stefan Steinerberger; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Spectral theory; shape optimization; semiclassical asymptotics; spectral inequalities; quantum mechanics; Mathematics; Matematik;

    Sammanfattning : This thesis consists of eight papers primarily concerned with the quantitative study of the spectrum of certain differential operators. The majority of the results split into two categories. LÄS MER