Sökning: "Cauchy problem"

Visar resultat 1 - 5 av 33 avhandlingar innehållade orden Cauchy problem.

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

   Författare :Henrik Petersson; Andrei Khrennikov; Sean Dineen; Växjö universitet; []
   Nyckelord :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;

   Sammanfattning : 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. LÄS MER

3. 2. The Cauchy problem for systems in L- and Lipschitz-spaces

   Författare :Philip Brenner; Göteborgs universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

   Sammanfattning : .... LÄS MER

4. 3. Iterative Methods for Solving the Cauchy Problem for the Helmholtz Equation

   Författare :Lydie Mpinganzima; Vladimir Kozlov; Bengt Ove Turesson; Fredrik Berntsson; Daniel Lesnic; Linköpings universitet; []
   Nyckelord :;

   Sammanfattning : The inverse problem of reconstructing the acoustic, or electromagnetic, field from inexact measurements on a part of the boundary of a domain is important in applications, for instance for detecting the source of acoustic noise. The governing equation for the applications we consider is the Helmholtz equation. LÄS MER

5. 4. An alternating iterative procedure for the Cauchy problem for the Helmholtz equation

   Författare :Lydie Mpinganzima; Vladimir Kozlov; Bengt-Ove Turesson; Fredrik Berntsson; Börje Nilsson; Linköpings universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

   Sammanfattning : Let  be a bounded domain in Rn with a Lipschitz boundary Г divided into two parts Г0 and Г1 which do not intersect one another and have a common Lipschitz boundary. We consider the following Cauchy problem for the Helmholtz equation:where k, the wave number, is a positive real constant, аv denotes the outward normal derivative, and f and g are specified Cauchy data on Г0. LÄS MER

7. 5. Accelerated Dirichlet-Robin Alternating Algorithm for Solving the Cauchy Problem for an Elliptic Equation using Krylov Subspaces

   Författare :Jennifer Chepkorir; Vladimir Kozlov; Fredrik Berntsson; Linus Carlsson; Linköpings universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

   Sammanfattning : In this thesis, we study the Cauchy problem for an elliptic equation. We use Dirichlet-Robin iterations for solving the Cauchy problem. This allows us to include in our consideration elliptic equations with variable coefficient as well as Helmholtz type equations. LÄS MER