Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences
Citation:
Pliska Studia Mathematica Bulgarica, Vol. 30, No 1, (2019), 55p-70p
Abstract:
This paper considers a generalization of Föppl–von Kärmán model for elastic plate depending on a parameter σ. We prove global well posedness for the Cauchy problem with small initial data and σ = 1 via Strichartz estimate for vibrating plate and Riesz transform. We generalize this result to a perturbed version of the original case (σ = 2) with the use of Yukawa potential. 2010 Mathematics Subject Classification: 35J50, 35Q40, 35J45.
