Search for dissertations about: "differential-operators"

Showing result 1 - 5 of 50 swedish dissertations containing the word differential-operators.

  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. 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

  5. 3. Differential operators on arrangements of hyperplanes

    Author : Pär Holm; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Rings Algebra ; Ringar matematik ;

    Abstract : .... READ MORE

  6. 4. Propagation of singularities for pseudo-differential operators and generalized Schrödinger propagators

    Author : Karoline Johansson; Joachim Toft; Anders Olofsson; Linnéuniversitetet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Banach spaces; Fourier; Generalized time-dependent Schrödinger equation; Micro-local; Modulation spaces; Non-tangential convergence; Pseudo-differential operators; Regularity; Wave-front sets; Banachrum; Fourier; Generaliserad tidsberoende Schrödinger ekvation; Icke-tangentiell konvergens; Mikrolokal; Modulationsrum; Pseudodifferentialoperatorer; Regularitet; Vågfrontsmängder; Mathematical analysis; Analys; Mathematics; Matematik;

    Abstract : In this thesis we discuss different types of regularity for distributions which appear in the theory of pseudo-differential operators and partial differential equations. Partial differential equations often appear in science and technology. READ MORE

  7. 5. Minimax problems for some nonlinear differential operators

    Author : Gunnar Aronsson; Uppsala universitet; []
    Keywords : NATURAL SCIENCES; NATURVETENSKAP;

    Abstract : .... READ MORE