Search for dissertations about: "oscillatory integrals"

Found 4 swedish dissertations containing the words oscillatory integrals.

  2. 1. Norm inequalities for oscillatory Fourier integrals

    Author : Björn G. Walther; KTH; []
    Keywords : ;

    Abstract : .... READ MORE

  4. 2. 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

  5. 3. Regularity of multilinear oscillatory integral operators and nonlinear dispersive partial differential equations

    Author : Aksel Bergfeldt; Wolfgang Staubach; Dorothee Frey; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; oscillatory integral operators; partial differential equations; Mathematics; Matematik;

    Abstract : We show regularity of multilinear Schrödinger integral operators as well as multilinear oscillatory integrals with connection to dispersive partial differential equations. These results are used to show regularity of a system of nonlinear dispersive partial differential equations... READ MORE

  6. 4. Uncertainty quantification for high frequency waves

    Author : Gabriela Malenova; Olof Runborg; Fabio Nobile; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Matematik;

    Abstract : We consider high frequency waves satisfying the scalar wave equation with highly oscillatory initial data represented by a short wavelength ε. The speed of propagation of the medium as well as the phase and amplitude of the initial data is assumed to be uncertain, described by a finite number of independent random variables with known probability distributions. READ MORE