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

Author: Aksel Bergfeldt; Wolfgang Staubach; Dorothee Frey; Uppsala Universitet; []

Keywords: NATURAL SCIENCES; NATURVETENSKAP; 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.

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