Search for dissertations about: "wavefront sets."

Found 2 swedish dissertations containing the words wavefront sets..

  2. 1. Properties of the Pushforward Map on Test Functions, Measures and Distributions

    Author : Niels Christian Overgaard; Partiella differentialekvationer; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Matematik; Mathematics; wavefront sets.; oscillatory integrals; Bernstein-Sato polynomials; Palamodov s conjecture; image directe; Pushforward map; pullback map; Mathematical logic; set theory; combinatories; Matematisk logik; mängdlära; kombinatorik;

    Abstract : The subject of this thesis is the pushforward map on compactly supported distributions induced by a smooth mapping. Being the adjoint of the natural pullback operation on the class of smooth functions, the pushforward map is always well-defined, and as such it must be regarded as one of the fundamental operations of distribution theory. READ MORE

  4. 2. Properties of wave-front sets and non-tangential convergence

    Author : Karoline Johansson; Joachim Toft; Luigi Rodino; Linnéuniversitetet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Fourier Banach spaces; Generalized free time-dependent Schrödinger equation; Micro-local; Modulation spaces; Non-tangential convergence; Pseudo-differential operators; Regularity; Wave-front sets.; Mathematical analysis; Analys; Matematik; Mathematics;

    Abstract : In this thesis we consider regularity properties for solutions to partial differential equations and pseudo-differential equations. The thesis mainly concerns wave-front sets and micro-local properties. READ MORE