Search for dissertations about: "partial differential equations"

Showing result 1 - 5 of 227 swedish dissertations containing the words partial differential equations.

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. Topics in analytic theory of partial differential equations

   Author : Sergei Chulkov; Jan-Erik Björk; Mattias Jonsson; Stockholms universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; partial differential equations; Algebra; geometry and mathematical analysis; Algebra; geometri och analys;

   Abstract : The thesis consists of three papers I, II III devoted to some topics in analytic theory of partial differential equations. The main paper is II. In this paper we study a version of the classical problem on the convergence of formal solutions of systems of partial differential equations. READ MORE

5. 3. Exponential integrators for stochastic partial differential equations

   Author : Rikard Anton; David Cohen; Christian Engström; Stig Larsson; Annika Lang; Umeå universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Stochastic partial differential equations; numerical methods; stochastic exponential integrator; strong convergence; trace formulas;

   Abstract : Stochastic partial differential equations (SPDEs) have during the past decades become an important tool for modeling systems which are influenced by randomness. Because of the complex nature of SPDEs, knowledge of efficient numerical methods with good convergence and geometric properties is of considerable importance. 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. Selected Topics in Partial Differential Equations

   Author : Mattias Enstedt; Michael Melgaard; William Desmond Evans; Uppsala universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; MATHEMATICS; MATEMATIK; Applied mathematics; Tillämpad matematik;

   Abstract : This Ph.D. thesis consists of five papers and an introduction to the main topics of the thesis. In Paper I we give an abstract criteria for existence of multiple solutions to nonlinear coupled equations involving magnetic Schrödinger operators. READ MORE