Search for dissertations about: "parabolic problem"

Showing result 1 - 5 of 65 swedish dissertations containing the words parabolic problem.

2. 1. On parabolic equations of Kolmogorov-Fokker-Planck type

   Author : Malte Litsgård; Kaj Nyström; Ugo Gianazza; Uppsala universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Kolmogorov equation; degenerate parabolic; ultraparabolic; Lipschitz domain; Dirichlet problem; boundary behaviour; parabolic measure.; Mathematics; Matematik;

   Abstract : In this thesis solutions to Kolmogorov-Fokker-Planck type equations are studied. It consists of a comprehensive summary and four scientific articles.In the first article a potential theory for certain strongly degenerate parabolic operators in unbounded domains of Lipschitz type is developed. READ MORE

4. 2. Topics on subelliptic parabolic equations structured on Hörmander vector fields

   Author : Marie Frentz; Kaj Nyström; Luca Capogna; Umeå universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; subelliptic; parabolic; obstacle problem; boundary behaviour; weak approximation; Mathematics; matematik;

   Abstract : .... READ MORE

5. 3. On the discretization in time and space of parabolic integro-differential equations

   Author : Nai-Ying Zhang; Göteborgs universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; initial-boundary value problem; parabolic; partial; integro-differential equation; regularity; nonsmooth initial data; finite element method; fully discrete; Galerkin approximation; stability; error estimate; quadrature; stability;

   Abstract : .... READ MORE

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

   Author : Håkan Persson; Kaj Nyström; Maciej Klimek; Evgeny Poletsky; Uppsala universitet; []
   Keywords : 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;

   Abstract : 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. READ MORE

7. 5. Spatial and Physical Splittings of Semilinear Parabolic Problems

   Author : Erik Henningsson; Matematik LTH; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; splitting schemes; parabolic equations; semilinear; evolution equations; dissipative; convergence order; dimension splitting; domain decomposition; axonal growth;

   Abstract : Splitting methods are widely used temporal approximation schemes for parabolic partial differential equations (PDEs). These schemes may be very efficient when a problem can be naturally decomposed into multiple parts. READ MORE