Sharp trace estimates of solutions to Kirchhoff and Euler-Bernoulli equations
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.
Applied Mathematics & Optimization
Lasiecka, I., & Triggiani, R. (1993). Sharp trace estimates of solutions to Kirchhoff and Euler-Bernoulli equations. Applied Mathematics & Optimization, 28 (3), 277-306. https://doi.org/10.1007/BF01200382