On the trace embedding and its applications to evolution equations
Antonio Agresti, Nick Lindemulder, Mark Veraar
Abstract
Abstract In this paper, we consider traces at initial times for functions with mixed time‐space smoothness. Such results are often needed in the theory of evolution equations. Our result extends and unifies many previous results. Our main improvement is that we can allow general interpolation couples. The abstract results are applied to regularity problems for fractional evolution equations and stochastic evolution equations, where uniform trace estimates on the half‐line are shown.
Topics & Concepts
MathematicsTRACE (psycholinguistics)SmoothnessEmbeddingInterpolation (computer graphics)Applied mathematicsLine (geometry)Space (punctuation)Mathematical analysisComputer scienceGeometryComputer graphics (images)LinguisticsPhilosophyArtificial intelligenceAnimationOperating systemAdvanced Mathematical Modeling in EngineeringNonlinear Differential Equations AnalysisStochastic processes and financial applications