Search for dissertations about: "operator equations"

Showing result 1 - 5 of 94 swedish dissertations containing the words operator equations.

2. 1. Integrable Systems and Operator Equations

   Author : Cornelia Schiebold; Mittuniversitetet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; integrable systems; operator equations; asymptotics of solutions; MATHEMATICS; MATEMATIK;

   Abstract : .... READ MORE

4. 2. Parabolic equations with low regularity

   Author : Magnus Fontes; Matematik LTH; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Matematik; Mathematics; 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

5. 3. On weak convergence, Malliavin calculus and Kolmogorov equations in infinite dimensions

   Author : Adam Andersson; Göteborgs universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Stochastic evolution equations; stochastic Volterra equations; weak approximation; Kolmogorov equations in infinite dimensions; Malliavin calculus; finite element method; backward Euler method; Kolmogorov equations in infinite dimensions;

   Abstract : This thesis is focused around weak convergence analysis of approximations of stochastic evolution equations in Hilbert space. This is a class of problems, which is sufficiently challenging to motivate new theoretical developments in stochastic analysis. READ MORE

6. 4. Differential Equations with Constraints

   Author : Olivier Verdier; Matematik LTH; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES;

   Abstract : We study various differential equations subject to constraints. In the first part we study a partial differential equation, Burgers equation, subject to time-periodicity constraint. The forcing term is time-periodic and may be highly irregular. READ MORE

7. 5. Approximating Stochastic Partial Differential Equations with Finite Elements: Computation and Analysis

   Author : Andreas Petersson; Chalmers tekniska högskola; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Lévy process; Lyapunov equation; white noise; finite element method; multilevel Monte Carlo; Monte Carlo; multiplicative noise; asymptotic mean square stability; stochastic heat equation; covariance operator; weak convergence; generalized Wiener process; numerical approximation; stochastic wave equation; Stochastic partial differential equations;

   Abstract : Stochastic partial differential equations (SPDE) must be approximated in space and time to allow for the simulation of their solutions. In this thesis fully discrete approximations of such equations are considered, with an emphasis on finite element methods combined with rational semigroup approximations. READ MORE