Search for dissertations about: "Cauchy"

Showing result 6 - 10 of 55 swedish dissertations containing the word Cauchy.

  2. 6. 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. 7. Numerical Solution of Ill-posed Cauchy Problems for Parabolic Equations

    Author : Zohreh Ranjbar; Lars Eldén; Per Christian Hansen; Linköpings universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; MATHEMATICS; MATEMATIK;

    Abstract : Ill-posed mathematical problem occur in many interesting scientific and engineering applications. The solution of such a problem, if it exists, may not depend continuously on the observed data. For computing a stable approximate solution it is necessary to apply a regularization method. READ MORE

  5. 8. The Cauchy problem for systems in L- and Lipschitz-spaces

    Author : Philip Brenner; Göteborgs universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES;

    Abstract : .... READ MORE

  6. 9. Iterative Methods for Solving the Cauchy Problem for the Helmholtz Equation

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

    Abstract : 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. READ MORE

  7. 10. Regularization methods for solving Cauchy problems for elliptic and degenerate elliptic equations

    Author : Jennifer Chepkorir; Vladimir Kozlov; Fredrik Berntsson; Alexei Iantchenko; Linköpings universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES;

    Abstract : In this thesis, we study Cauchy problems for the elliptic and degenerate elliptic equations. These problems are ill-posed. We split the boundary of the domain into two parts. On one of them, say Γ0, we have available Cauchy data and on remaining part Γ1 we introduce unknown Robin data. READ MORE