Fujita-type results for the degenerate parabolic equations on the Heisenberg groups

Author:

Fino Ahmad Z.,Ruzhansky Michael,Torebek Berikbol T.

Funder

Research Group Unit, College of Engi- neering and Technology, American University of the Middle East

EPSRC

Science Committee of the Ministry of Education and Science of the Republic of Kazakhstan

FWO Odysseus 1

Methusalem programme of the Ghent University Special Research Fund

Publisher

Springer Science and Business Media LLC

Reference30 articles.

1. Adams, R.A., Fournier, J.J.F.: Sobolev Spaces, vol. 140. Elsevier, New York (2003)

2. Azman, I., Jleli, M., Samet, B.: Blow-up of solutions to parabolic inequalities in the Heisenberg group. Electron. J. Differ. Equ. 167, 1–9 (2015)

3. Birindelli, I., Cutrì, A.: A semi-linear problem for the Heisenberg Laplacian. Rend. Semin. Mat. Univ. Padova 94, 137–153 (1995)

4. Chen, H., Luo, P.: Lower bounds of Dirichlet eigenvalues for some degenerate elliptic operators. Calc. Var. Partial Differ. Equ. 54, 2831–2852 (2015)

5. Chen, X.P., Du, S.Z., Guo, T.P.: The Liouville theorem of a torsion system and its application to the symmetry group of a porous medium type equation on symmetric spaces. J. Lie Theory 31(2), 393–411 (2021)

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