Moving gradient singularity for the evolutionary p-Laplace equation 2025 (English)In: Journal of Elliptic and Parabolic Equations, ISSN 2296-9020, Vol. 11, no 3, p. 2153-2164Article in journal (Refereed) Published

Abstract [en]

We consider the evolutionary p-Laplace equation in R-n x (0, infinity). For p > n, we construct a solution u with a moving gradient singularity in the sense that |del u(x, t)|-> infinity for each t as x -> (t), where : [0, infinity) -> R-n is a given curve.

Place, publisher, year, edition, pages

Springer Nature , 2025. Vol. 11, no 3, p. 2153-2164

Keywords [en]

Evolutionary p-Laplace equation, Gradient singularity, Comparison functions

National Category

Mathematical Analysis

Identifiers

URN: urn:nbn:se:kth:diva-364243DOI: 10.1007/s41808-025-00334-7ISI: 001476814600001Scopus ID: 2-s2.0-105003559080OAI: oai:DiVA.org:kth-364243DiVA, id: diva2:1967089

Note

QC 20260127

Available from: 2025-06-11 Created: 2025-06-11 Last updated: 2026-01-27Bibliographically approved

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Lindgren, Erik

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Lindgren, ErikTakahashi, Jin

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Analysis, Dynamics, Geometry, Number Theory and PDE

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