Fujita exponent on stratified Lie groups

Author:

Suragan Durvudkhan,Talwar BharatORCID

Funder

Nazarbayev University

Simons Foundation

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics

Reference19 articles.

1. Bandle, C., Levine, H.A., Zhang, Q.S.: Critical exponents of Fujita type for inhomogeneous parabolic equations and systems. J. Math. Anal. Appl. 251(2), 624–648 (2000)

2. Bonfiglioli, A., Lanconelli, E., Uguzzoni, F.: Stratified Lie groups and potential theory for their sub-Laplacians. Springer Monographs in Mathematics, Springer, Berlin (2007)

3. Borikhanov, M.B., Ruzhansky, M., Torebek, B.T.: The Fujita exponent for a semilinear heat equation with forcing term on Heisenberg Group. arXiv preprint arXiv:2207.03744 (2022)

4. Folland, G.B.: Subelliptic estimates and function spaces on nilpotent Lie groups. Ark. Mat. 13(2), 161–207 (1975)

5. Fujita, H.: On the blowing up of solutions of the Cauchy problem for $$u_{t}=\Delta u+u^{1+\alpha }$$. J. Fac. Sci. Univ. Tokyo Sect. I 13 (1966), 109–124 (1966)

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