Sökning: "Laplace operator"

Visar resultat 1 - 5 av 27 avhandlingar innehållade orden Laplace operator.

  1. 1. Heterogeneous Materials - Diffusion, Laplace spectrum and NMR

    Författare :Matias Nordin; Chalmers University of Technology; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; perturbation; nmr; diffusion; laplace operator; spectrum; heterogeneous materials;

    Sammanfattning : Relations to the effective diffusion constant and the relaxation rate of the time-dependent diffusion coefficient for porous systems are derived from the Laplace operator spectrum. The Padé approximation is then explained in terms of the Laplace operator spectrum. LÄS MER

  2. 2. Heterogeneous Materials - Diffusion, Laplace Spectrum, and Nuclear Magnetic Resonance

    Författare :Matias Nordin; Chalmers University of Technology; []
    Nyckelord :NATURVETENSKAP; NATURVETENSKAP; NATURAL SCIENCES; NATURAL SCIENCES; eigenfunctions; eigenvalues; propagator; diffusion; Laplace operator; Nuclear Magnetic Resonance;

    Sammanfattning : In this thesis diffusion in heterogeneous materials is studied using spectral analysisof the Laplace operator. Relations to the effective diffusion constant and therelaxation rate of the time-dependent diffusion coefficient for porous systems arederived from the Laplace operator’s spectrum. LÄS MER

  3. 3. Boundary Behavior of p-Laplace Type Equations

    Författare :Benny Avelin; Kaj Nyström; Steve Hofmann; Uppsala universitet; []
    Nyckelord :NATURAL SCIENCES; NATURVETENSKAP; 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

  4. 4. Nonlinear elliptic problems with boundary blow-up

    Författare :Jerk Matero; Uppsala universitet; []
    Nyckelord :NATURAL SCIENCES; NATURVETENSKAP; Mathematics; Boundary blow-up; NTA domain; fractal; p-Laplace operator; Mange-Ampère operator; viscosity solution; mean curvature flow; gradient estimate; Fefferman s equation; superdiffusion; entire solution; maximum principle; Primary 35J65; MATEMATIK; MATHEMATICS; MATEMATIK; matematik; Mathematics;

    Sammanfattning : A classical problem in differential geometry is the prescribed curvature problemin a bounded domain, where the task is to conformally deform the Euclidean metric to another complete Riemannian metric with a prescribed curvature function.If this function is negative, the problem is equivalent to solving a nonlinear elliptic partial differential equation with boundary blow-up. LÄS MER

  5. 5. Inverse Problems for Graph Laplacians

    Författare :Marlena Nowaczyk; Matematik LTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Spectral theory; Laplace operator; Trace formula; Quantum graphs;

    Sammanfattning : This thesis is devoted to inverse spectral problems for Laplace operators on metric graphs, and it is based on the following papers: Paper I - P. Kurasov and M. Nowaczyk 2005 Inverse spectral problem for quantum graphs J. Phys. LÄS MER