Search for dissertations about: "Parabolic equations"

Showing result 1 - 5 of 45 swedish dissertations containing the words Parabolic equations.

  1. 1. Boundary Estimates for Solutions to Parabolic Equations

    University dissertation from Uppsala : Department of Mathematics

    Author : Olow Sande; Uppsala universitet.; [2016]
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Uniformly parabolic equations; non-linear parabolic equations; linear growth; degenerate parabolic equations; fractional heat equations; complex coefficients; Lipschitz domain; NTA domain; boundary behaviour; boundary Harnack; parabolic measure; Riesz measure; Dirichlet to Neumann map; single layer potentials.; Mathematics; Matematik;

    Abstract : This thesis concerns the boundary behavior of solutions to parabolic equations. It consists of a comprehensive summary and four scientific papers. The equations concerned are different generalizations of the heat equation.Paper I concerns the solutions to non-linear parabolic equations with linear growth. READ MORE

  2. 2. Parabolic equations with low regularity

    University dissertation from Department of Mathematics, Lund University

    Author : Magnus Fontes; Lunds universitet.; Lund University.; [1996]
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Matematik; Galerkin approximation.; low regularity; variational method; Hilbert transformation; fractional calculus; parabolic equations; quasilinear;

    Abstract : In this work we study a variational method for treating parabolic equations that yields new results for non-linear equations with low regularity on source and boundary data. We treat mainly strongly parabolic quasilinear equations and systems in divergence form. READ MORE

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

    University dissertation from Uppsala : Acta Universitatis Upsaliensis

    Author : Håkan Persson; Uppsala universitet.; [2015]
    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

  4. 4. Qualitative Aspects of Nonlinear Parabolic Partial Differential Equations and Systems

    University dissertation from Centre for Mathematical Sciences, Lund University

    Author : Joakim Petersson; Lunds universitet.; Lund University.; [2005]
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Matematik; Optimal constants; Global existence; Parabolic equations; Quenching;

    Abstract : This thesis contains four papers about some aspects of nonlinear parabolic equations and systems. Paper 1. A note on quenching for parabolic equations with dynamic boundary conditions We present a quenching result for semilinear parabolic equations with dynamic boundary conditions in bounded domains with a smooth boundary. Paper 2. READ MORE

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

    University dissertation from Chalmers University of Technology

    Author : Nai-Ying Zhang; Chalmers tekniska högskola Göteborgs universitet.; Chalmers University of Technology University of Gothenburg.; Chalmers tekniska högskola Göteborgs universitet.; [1990]
    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;

    Abstract : .... READ MORE