Work

Blow-up phenomena for porous medium equation driven by the fractional $ p $-sub-Laplacian

Year: 2025

Type: article

Abstract: In this paper, we investigate the global existence and blow-up phenomena of the solution to the fractional nonlinear porous medium equation on stratified groups, employing the concavity method. Specifically, we establish the necessary conditions for the existence of global solutions and blow-up solutions. Our findings not only contribute to the understanding of this equation on stratified groups but also extend the existing knowledge in the classical Euclidean setting to the fractional case.

Source: AIMS Mathematics

DOI: 10.3934/math.2025606

Authors: Khumoyun Jabbarkhanov, Amankeldy Toleukhanov

Institutions: Maqsut Narikbayev University, Institute of Mathematics and Mathematical Modeling, Satbayev University

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,200

OpenAlex ID: W4411225728