Search for dissertations about: "Per Åhag"

Found 4 swedish dissertations containing the words Per Åhag.

  2. 1. The complex Monge-Ampére operator on bounded hyperconvex domains

    Author : Per Åhag; Urban Cegrell; Norm Levenberg; Umeå universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Complex Monge-Ampère operator; currents; Dirichlet problem; hyperconvex domain; Perron-Bremermann envelope; pluripotential theory; plurisubharmonic function; Mathematical statistics; Matematisk statistik; Mathematical Statistics; matematisk statistik;

    Abstract : .... READ MORE

  4. 2. Numerical analysis and simulation of stochastic partial differential equations with white noise dispersion

    Author : André Berg; David Cohen; Per Åhag; Guillaume Dujardin; Ludovic Goudenège; Umeå universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; stochastic partial differential equation; mathematics; numerical analysis; numerical scheme; time integrator; convergence analysis; blowup; critical exponent; nonlinear Schrödinger equation; Manakov equation; Benjamin-Bona-Mahony equation; BBM equation; stochastic; random; dispersion; white noise dispersion; finite difference; pseudospectral; code; matlab; exponential integrator; splitting integrator; convergence in probability; Mathematics; matematik; Numerical Analysis; numerisk analys;

    Abstract : This doctoral thesis provides a comprehensive numerical analysis and exploration of several stochastic partial differential equations (SPDEs). More specifically, this thesis investigates time integrators for SPDEs with white noise dispersion. READ MORE

  5. 3. Holomorphic extension and schlichtness on tube manifolds

    Author : Suprokash Hazra; Egmont Porten; Cornelia Schiebold; Andreas Lind; Per Åhag; Mittuniversitetet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Envelopes of holomorphy; truncated tube domains; holomorphic extension; Bochner tube; manifold; schlichtness;

    Abstract : We first investigate the holomorphic extension of some classical and accessible classes of domains in $\mathbb{C}^n$ to know to what extent their envelopes are constructive. We give alternative proofs to some of the classical theorems using only first-principle arguments and without involving higher Stein geometry. READ MORE

  6. 4. The plurisubharmonic Mergelyan property

    Author : Lisa Hed; Urban Cegrell; Anders Fällström; Per Åhag; Jan Wiegerinck; Umeå universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Complex Monge-Ampère operator; approximation; plurisubharmonic function; subextension; Mergelyan property; plurisubharmonic function on compact sets; Jensen measures; Mathematics; matematik;

    Abstract : In this thesis, we study two different kinds of approximation of plurisubharmonic functions. The first one is a Mergelyan type approximation for plurisubharmonic functions. READ MORE