L^{2}-blowup estimates of the plate equation
Analysis of PDEs
2022-04-29 v3 Functional Analysis
Abstract
We consider the Cauchy problems in n-dimensional Euclidean space for the plate equation with a weighted L^{1}-initial data. We derive optimal estimates of the L^{2}-norm of solutions for n = 1, 2, 3, 4. In particular, such obtained results express infinite time blowup properties in the case when the 0-th moment of the initial velocity does not vanish. The idea to derive them is strongly inspired from an already developed technique by the author's collaborative works.
Cite
@article{arxiv.2112.07142,
title = {L^{2}-blowup estimates of the plate equation},
author = {Ryo Ikehata},
journal= {arXiv preprint arXiv:2112.07142},
year = {2022}
}
Comments
This is a re-replaced versin of the original one. arXiv admin note: text overlap with arXiv:2111.02031