Title

Sharp trace estimates of solutions to Kirchhoff and Euler-Bernoulli equations

Abstract

This paper gives sharp estimates of second-order traces of solutions to mixed problems for Kirchhoff equations and Euler-Bernoulli equations with second- and third-order nonhomogeneous boundary conditions. The approach uses pseudodifferential analysis. These sharp trace regularity results have, among others, important implications in corresponding exact controllability/uniform stabilization theories; they allow the removal of geometrical conditions made in prior literature. © 1993 Springer-Verlag New York Inc.

Publication Title

Applied Mathematics & Optimization

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