Titlebook: Hyperbolic Problems and Regularity Questions; Mariarosaria Padula,Luisa Zanghirati Conference proceedings 2007 Birkhäuser Basel 2007 Bound

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,Vorticity and Regularity for Solutions of Initial-boundary Value Problems for the Navier—Stokes Equy condition (1.2) is necessarily regular if the direction of the vorticity is 1/2-Hölder continuous with respect to the space variables. In this notes we show the main steps in the proof and made some comments on the above problem under the non-slip boundary condition (3.2).

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Exponential Decay and Regularity for SG-elliptic Operators with Polynomial Coefficients,e consider linear operators with polynomial coefficients which are SG-elliptic at infinity. Starting from . in the so-called Gelfand-Shilov spaces, the solutions . of the equation are proved to belong to the same classes. Proofs are based on a priori estimates and arguments on the Newton polyhedron associated to the operator ..

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Conference proceedings 2007ear partial differential equations, functional analysis and applied analysis as well as mechanics. ..The book originates from a recent conference focusing on hyperbolic problems and regularity questions. It is intended for researchers in functional analysis, PDE, fluid dynamics and differential geometry..

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,Loss of Derivatives for ,→∞ in Strictly Hyperbolic Cauchy Problems,We study the behavior for .→∞ of the solutions to the Cauchy problem for a strictly hyperbolic second order equation with coefficients periodic in time, or oscillating with a period going to 0.