Sökning: "Wolfgang Staubach"

Hittade 3 avhandlingar innehållade orden Wolfgang Staubach.

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

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

    Sammanfattning : 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... LÄS MER

  3. 2. Regularity Properties of Oscillatory Integral Operators on Function Spaces

    Författare :Anders Israelsson; Wolfgang Staubach; Malabika Pramanik; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Matematik;

    Sammanfattning : We establish regularity results for a variety of oscillatory integral operators, some of which introduced for the first time in this thesis, in general function spaces such as Besov-Lipschitz and Triebel-Lizorkin spaces. These estimates yield new local and global regularity results for evolutionary partial differential equations... LÄS MER

  4. 3. Resonances of Dirac Operators

    Författare :Jimmy Kungsman; Wolfgang Staubach; Roman Schubert; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Semiclassical analysis; Dirac operator; resonances; Poisson trace formula; scattering theory; complex absorbing potential; pseudodifferential operator; Mathematics; Matematik;

    Sammanfattning : This thesis consists of a summary of four papers dealing with resonances of Dirac operators on Euclidean 3-space. In Paper I we show that the Complex Absorbing Potential (CAP) method is valid in the semiclassical limit for resonances sufficiently close to the real line if the potential is smooth and compactly supported. LÄS MER