Gevrey's and trace regularity of a semigroup associated with beam equation and non-monotone boundary conditions

DOI10.1016/j.jmaa.2006.10.025zbMath1120.35029OpenAlexW1969058002MaRDI QIDQ881997

Irena Lasiecka, Boris P. Belinskiy

Publication date: 23 May 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.10.025

zbMATH Keywords

energy estimatessmoothingsemigroupswell-posednessGevrey regularityboundary behaviour of solutionsforced beam equationnon-monotone boundary conditions

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) One-parameter semigroups and linear evolution equations (47D06) A priori estimates in context of PDEs (35B45) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Higher-order nonlinear hyperbolic equations (35L75)

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