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The Petrovskii criterion and barriers for degenerate and singular p-parabolic equations
Linköping University, Department of Mathematics, Mathematics and Applied Mathematics. Linköping University, Faculty of Science & Engineering.ORCID iD: 0000-0002-9677-8321
Linköping University, Department of Mathematics, Mathematics and Applied Mathematics. Linköping University, Faculty of Science & Engineering.ORCID iD: 0000-0002-1238-6751
University of Pavia, Italy.
2017 (English)In: Mathematische Annalen, ISSN 0025-5831, E-ISSN 1432-1807, Vol. 368, no 3-4, 885-904 p.Article in journal (Refereed) Published
Abstract [en]

In this paper we obtain sharp Petrovskii criteria for the p-parabolic equation, both in the degenerate case p amp;gt; 2 and the singular case 1 amp;lt; p amp;lt; 2 We also give an example of an irregular boundary point at which there is a barrier, thus showing that regularity cannot be characterized by the existence of just one barrier.

Place, publisher, year, edition, pages
SPRINGER HEIDELBERG , 2017. Vol. 368, no 3-4, 885-904 p.
National Category
Mathematical Analysis
Identifiers
URN: urn:nbn:se:liu:diva-139811DOI: 10.1007/s00208-016-1415-0ISI: 000406037300001OAI: oai:DiVA.org:liu-139811DiVA: diva2:1133909
Note

Funding Agencies|Swedish Research Council

Available from: 2017-08-17 Created: 2017-08-17 Last updated: 2017-08-17

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