A1 Journal article (refereed)
A remark on infinite initial values for quasilinear parabolic equations (2020)


Lindqvist, P., & Parviainen, M. (2020). A remark on infinite initial values for quasilinear parabolic equations. Nonlinear Analysis: Theory, Methods and Applications, 194, 111391. doi:10.1016/j.na.2018.12.002


JYU authors or editors


Publication details

All authors or editors: Lindqvist, Peter; Parviainen, Mikko

Journal or series: Nonlinear Analysis: Theory, Methods and Applications

ISSN: 0362-546X

eISSN: 1873-5215

Publication year: 2020

Volume: 194

Issue number: 0

Pages range: 111391

Publisher: Elsevier

Publication country: United Kingdom

Publication language: English

DOI: http://doi.org/10.1016/j.na.2018.12.002

Open Access: Publication channel is not openly available

Web address of parallel published publication (pre-print): https://arxiv.org/abs/1811.11541


Abstract

We study the possibility of prescribing infinite initial values for solutions of the Evolutionary -Laplace Equation in the fast diffusion case . This expository note has been extracted from our previous work. When infinite values are prescribed on the whole initial surface, such solutions can exist only if the domain is a space–time cylinder.


Free keywords: friendly giant; parabolic p-Laplace equation


Contributing organizations


Ministry reporting: Yes

Reporting Year: 2020

Preliminary JUFO rating: 1


Last updated on 2020-09-07 at 23:11