Sökning: "Blow-up"

Visar resultat 1 - 5 av 14 avhandlingar innehållade ordet Blow-up.

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

    Författare :Jerk Matero; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Boundary blow-up; NTA domain; fractal; p-Laplaceoperator; 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

  3. 2. Quasilinear elliptic problems with boundary blow-up

    Författare :Jerk Matero; Uppsala universitet; []
    Nyckelord :;

    Sammanfattning : .... LÄS MER

  4. 3. Regularity and boundary behavior of solutions to complex Monge–Ampère equations

    Författare :Björn Ivarsson; Zbigniew Blocki; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Complex Monge--Ampère operator; interior regularity; plurisubharmonic function; blow-up rate of solutions; bounded plurisubharmonic exhaustion function; globally Lipschitz; strongly pseudoconvex domain; hyperconvex domain; Bergman kernel; MATEMATIK; MATHEMATICS; MATEMATIK; matematik; Mathematics;

    Sammanfattning : In the theory of holomorphic functions of one complex variable it is often useful to study subharmonic functions. The subharmonic can be described using the Laplace operator. When one studies holomorphic functions of several complex variables one should study the plurisubharmonic functions instead. LÄS MER

  5. 4. Non-linear Free Boundary Problems

    Författare :Andreas Minne; Henrik Shahgholian; Herbert Koch; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; free boundary; elliptic; fully non-linear; Mathematics; Matematik;

    Sammanfattning : This thesis consists of an introduction and four research papers related to free boundary problems and systems of fully non-linear elliptic equations.Paper A and Paper B prove optimal regularity of solutions to general elliptic and parabolic free boundary problems, where the operators are fully non-linear and convex. LÄS MER

  7. 5. On some Nonlinear Aspects of Wave Motion

    Författare :Erik Wahlén; Partiella differentialekvationer; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; water waves; bifurcation; global existence; rod equation; wabve breaking;

    Sammanfattning : In the first part of this thesis we consider the governing equations for capillary water waves given by the Euler equations with a free surface under the influence of surface tension over a flat bottom. We look for two-dimensional steady periodic waves. The problem is first transformed to a nonlinear elliptic equation in a rectangle. LÄS MER