Sökning: "oscillatory integral operators"

Hittade 2 avhandlingar innehållade orden oscillatory integral operators.

  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