The Fujita exponent for a semilinear heat equation with forcing term on Heisenberg group
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.
Authors
- Michael Ruzhansky (ORCID: https://orcid.org/0000-0001-8633-5570)
- Berikbol T. Torebek (ORCID: https://orcid.org/0000-0002-2354-2377)
- Meiirkhan B. Borikhanov (ORCID: https://orcid.org/0000-0002-5687-0561)
Institutions
- Queen Mary University of London (GB)
- Ahmet Yesevi University (KZ)
- Ghent University (BE)
- Institute of Mathematics and Mathematical Modeling (KZ)
Publication Details
- Journal
- Mathematical Methods in the Applied Sciences
- Published
- 2024-10-03
- DOI
- https://doi.org/10.1002/mma.10514
- Citations
- 5
- Primary Topic
- Stability and Controllability of Differential Equations
- Type
- article
- Field-Weighted Citation Impact
- 1.64
Funders
- Engineering and Physical Sciences Research Council