Sökning: "neumann matematik"

Visar resultat 1 - 5 av 31 avhandlingar innehållade orden neumann matematik.

  1. 1. Spectral estimates for the magnetic Schrödinger operator and the Heisenberg Laplacian

    Författare :Anders Hansson; Ari Laptev; B Malcolm Brown; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; spectral theory; Schrödinger operator; magnetic field; Aharonov-Bohm; Lieb-Thirring; diamagnetic inequality; Heisenberg group; Heisenberg Laplacian; hypoelliptic; spektralteori; Schrödingeroperator; magnetfält; Aharonov-Bohm; Lieb-Thirring; diamagnetisk olikhet; Heisenberggrupp; Heisenberg-Laplace-operator; hypoelliptisk; MATHEMATICS; MATEMATIK;

    Sammanfattning : I denna avhandling, som omfattar fyra forskningsartiklar, betraktas två operatorer inom den matematiska fysiken. De båda tidigare artiklarna innehåller resultat för Schrödingeroperatorn med Aharonov-Bohm-magnetfält. LÄS MER

  3. 2. Asymptotic analysis of a nonlinear partial differential equation in a semicylinder

    Författare :Peter Rand; Henrik Shahgolian; Linköpings universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; MATHEMATICS; MATEMATIK;

    Sammanfattning : We study small solutions of a nonlinear partial differential equation in a semi-infinite cylinder. The asymptotic behaviour of these solutions at infinity isdetermined. First, the equation under the Neumann boundary condition is studied. LÄS MER

  4. 3. Asymptotic analysis of solutions to elliptic and parabolic problems

    Författare :Peter Rand; Vladimir Kozlov; Mikael Langer; Vitali Liskevich; Linköpings universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Asymptotic behaviour; The Emden-Fowler equation; Parabolic system; Spectral splitting; Cylinder; Perturbation; MATHEMATICS; MATEMATIK;

    Sammanfattning : In the thesis we consider two types of problems. In Paper 1, we studysmall solutions to a time-independent nonlinear elliptic partial differential equation of Emden-Fowler type in a semi-infnite cylinder. The asymptotic behaviour of these solutions at infnity is determined. First, the equation under the Neumann boundary condition is studied. LÄS MER

  5. 4. Continuity and compositions of operators with kernels in ultra-test function and ultra-distribution spaces

    Författare :Yuanyuan Chen; Joachim Toft; Nenad Teofanov; Linnéuniversitetet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Composition; modulation spaces; positivity; pseudo-differential operators; Schatten-von Neumann operators; twisted convolutions; ultra-distributions; Matematik; Mathematics;

    Sammanfattning : In this thesis we consider continuity and positivity properties of pseudo-differential operators in Gelfand-Shilov and Pilipović spaces, and their distribution spaces. We also investigate composition property of pseudo-differential operators with symbols in quasi-Banach modulation spaces. LÄS MER

  7. 5. Linking Probability Theory and Quantum Mechanics, and a Novel Formulation of Quantization

    Författare :Fritiof Wallentin; Andrei Khrennikov; Kisil Vladimir; Linnéuniversitetet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; quantum mechanics; contextuality; probabilistic interpretation; Born’s rule; frequentist interpretation; unitary representations; classical statistical mechanics; Koopman-von Neumann formulation; hidden-variable model; quantization.; Matematik; Mathematics;

    Sammanfattning : This doctoral thesis in mathematics consists of three articles that explore the probabilistic structure of quantum mechanics and quantization from a novel perspective.The thesis adopts a probabilistic interpretation of quantum mechanics, which views the archetypical quantum experiments of Bell- and double-slit- type as violating the principle of non-contextuality, i. LÄS MER