Work

The Fujita exponent for a semilinear heat equation with forcing term on Heisenberg group

Year: 2024

Type: article

Abstract: In this paper, we study a critical exponent to the semilinear heat equation with forcing term on Heisenberg group. Our technique of proof is based on methods of nonlinear capacity estimates specifically adapted to the nature of the Heisenberg group. The critical exponent will be bounded for all dimensions of the Heisenberg group, in contrast to the Euclidean case which in the 1D and 2D cases will be infinite. In addition, we give an upper bound estimate on the lifespan of local solutions.

Source: Mathematical Methods in the Applied Sciences

DOI: 10.1002/mma.10514

Authors: Meiirkhan B. Borikhanov, Michael Ruzhansky, Berikbol T. Torebek

Institutions: Ahmet Yesevi University, Institute of Mathematics and Mathematical Modeling, Queen Mary University of London, Ghent University

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green