Search for dissertations about: "differential operator"

Showing result 1 - 5 of 93 swedish dissertations containing the words differential operator.

2. 1. Infinite dimensional holomorphy in the ring of formal power series : partial differential operators

   Author : Henrik Petersson; Andrei Khrennikov; Sean Dineen; Växjö universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Infinite dimensional holomorphy; Formal power series; Fourier-Borel transform; Paley-Wiener theorem; Fischer decomposition; Fischer pair; Fock space; Cauchy-Problem; Kergin operator; PDE-preserving; Pseudo-differential operators.; MATHEMATICS; MATEMATIK;

   Abstract : We study holomorphy in the ring of formal power series in an infinite number of variables. Thus we restrict our study to (infinite dimensional) holomorphy on sequence spaces and we show that we obtain a rich theory without requiring any topological structure on the domain space. We make a comprehensive PDO-study for the spaces under consideration. READ MORE

4. 2. 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

5. 3. 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

6. 4. Differential object marking in South Saami

   Author : David Kroik; Mikael Vinka; Christian Waldmann; Kristin Melum Eide; Umeå universitet; []
   Keywords : HUMANIORA; HUMANITIES; South Saami; Saami; Object Position; Saami Grammar; South Saami Grammar; Differential Object Marking; Generative Grammar; Syntax; Semantics; Morphology; Grammar; sydsamiska; samiska; sydsamisk grammatik; samisk grammatik; objektsposition; differentiell objektsmarkering; generativ grammatik; syntax; semantik; morfologi; grammatik; språkvetenskap; language studies;

   Abstract : This licentiate thesis investigates the case and the syntactic position of the direct object in South Saami. The focus is on plural direct objects, which have Differential Object Marking, a phenomenon in which the case alternates between different types of direct objects. READ MORE

7. 5. Higher order differential operators on graphs

   Author : Jacob Muller; Pavel Kurasov; Ram Band; Stockholms universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Almost periodic functions; differential operators on metric graphs; quantum graphs; estimation of eigenvalues;

   Abstract : This thesis consists of two papers, enumerated by Roman numerals. The main focus is on the spectral theory of -Laplacians. Here, an -Laplacian, for integer , refers to a metric graph equipped with a differential operator whose differential expression is the -th derivative. READ MORE