Sökning: "Partial differential equations"

Visar resultat 1 - 5 av 205 avhandlingar innehållade orden Partial differential equations.

  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 :NATURAL SCIENCES; NATURVETENSKAP; 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

  2. 2. Topics in analytic theory of partial differential equations

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

    Sammanfattning : 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. LÄS MER

  3. 3. Exponential integrators for stochastic partial differential equations

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

    Sammanfattning : 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. LÄS MER

  4. 4. Differential Equations with Constraints

    Författare :Olivier Verdier; Matematik LTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

    Sammanfattning : 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. LÄS MER

  5. 5. Selected Topics in Partial Differential Equations

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

    Sammanfattning : 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. LÄS MER