Sökning: "Boundary blow-up"

Hittade 5 avhandlingar innehållade orden Boundary 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. 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

  5. 4. 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

  7. 5. 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