The asymptotic behaviour of the heat equation in a sheared unbounded strip

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F21%3A00353904" target="_blank" >RIV/68407700:21340/21:00353904 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1016/j.jde.2021.06.026" target="_blank" >https://doi.org/10.1016/j.jde.2021.06.026</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jde.2021.06.026" target="_blank" >10.1016/j.jde.2021.06.026</a>

Result language
angličtina
Original language name
The asymptotic behaviour of the heat equation in a sheared unbounded strip
Original language description
We show that the geometric deformation of shearing yields an improved decay rate for the heat semigroup associated with the Dirichlet Laplacian in an unbounded strip. The proof is based on the Hardy inequality due to the shearing established in [Briet, Abdou-Soimadou, Krejčiřı'k; Z. Angew. Math. Phys. (2019) 70:48] and the method of self-similar variables and weighted Sobolev spaces for the heat equation.
Czech name
—
Czech description
—

Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GX20-17749X" target="_blank" >GX20-17749X: New challenges for spectral theory: geometry, advanced materials and complex fields</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Similar results(10)