Sökning: "Lipschitz"

Visar resultat 1 - 5 av 42 avhandlingar innehållade ordet Lipschitz.

  1. 1. Simple Layer Potentials on Lipschitz Surfaces: An Asymptotic Approach

    Författare :Johan Thim; Vladimir Kozlov; Bengt Ove Turesson; Martin Costabel; Linköpings universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Singular integrals; Lipschitz surfaces; Mathematical analysis; Analys;

    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. 2. Articles on Potential Theory, Functional Analysis and Hankel Forms

    Författare :Karl-Mikael Perfekt; Matematik (naturvetenskapliga fakulteten); []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Neumann-Poincare operator; layer potential; Lipschitz; spectrum; bidual; predual; distance; BMO; Hankel form; Carleson embedding; vector-valued.;

    Sammanfattning : Paper I: Perfekt, K.-M. and Putinar, M., Spectral bounds for the Neumann-Poincaré operator on planar domains with corners, to appear in J. LÄS MER

  4. 3. Studies of the Boundary Behaviour of Functions Related to Partial Differential Equations and Several Complex Variables

    Författare :Håkan Persson; Kaj Nyström; Maciej Klimek; Evgeny Poletsky; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; uniformly parabolic equations; non-linear parabolic equations; linear growth; Lipschitz domain; NTA-domain; Riesz measure; boundary behavior; boundary Harnack; degenerate parabolic; parabolic measure; plurisubharmonic functions; continuous boundary; hyperconvexity; bounded exhaustion function; Hölder for all exponents; log-lipschitz; boundary regularity; approximation; Mergelyan type approximation; plurisubharmonic functions on compacts; Jensen measures; monotone convergence; plurisubharmonic extension; plurisubharmonic boundary values; Mathematics; Matematik;

    Sammanfattning : This thesis consists of a comprehensive summary and six scientific papers dealing with the boundary behaviour of functions related to parabolic partial differential equations and several complex variables.Paper I concerns solutions to non-linear parabolic equations of linear growth. LÄS MER

  5. 4. Sobolev-Type Spaces : Properties of Newtonian Functions Based on Quasi-Banach Function Lattices in Metric Spaces

    Författare :Lukáš Malý; Anders Björn; Jana Björn; Tomas Sjödin; Andrea Cianchi; Linköpings universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Newtonian space; Sobolev-type space; metric measure space; upper gradient; Sobolev capacity; Banach function lattice; quasi-normed space; rearrangement-invariant space; maximal operator; Lipschitz function; regularization; weak boundedness; density of Lipschitz functions; quasi-continuity; continuity; doubling measure; Poincaré inequality;

    Sammanfattning : This thesis consists of four papers and focuses on function spaces related to first-order analysis in abstract metric measure spaces. The classical (i.e., Sobolev) theory in Euclidean spaces makes use of summability of distributional gradients, whose definition depends on the linear structure of Rn. LÄS MER

  7. 5. Extensions and Applications of Fast-Lipschitz Optimization

    Författare :Martin Jakobsson; Carlo Fischione; Michael Rabbat; KTH; []
    Nyckelord :TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY;

    Sammanfattning : Fast-Lipschitz optimization is a framework for optimization problems having a special structure in which the optimal solution is given by a set of equations, easily solvable through fixed point iterations. This solution method is simple to implement and particularly well suited for distributed optimization applications, such as those arising in wireless sensor networks. LÄS MER