Nonexistence Results of Global Solutions for Fractional Order Integral Equations on the Heisenberg Group-Reference-Cited by-同舟云学术

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Nonexistence Results of Global Solutions for Fractional Order Integral Equations on the Heisenberg Group

Published:2022-12-31 Issue: Volume:21 Page:382-386
ISSN:2224-2678
Container-title:WSEAS TRANSACTIONS ON SYSTEMS
language:en
Short-container-title:

Author:

Lamairia Abd Elhakim¹

Affiliation:

1. Department of Mathematics and Informatics University of Tebessa ALGE

Publisher

World Scientific and Engineering Academy and Society (WSEAS)

Subject

Computer Science Applications,Control and Systems Engineering

Reference20 articles.

1. G. B. Folland; Fondamental solution for subelliptic operators, Bull. Amer. Math. Soc., 79 (1979), 373–376

2. DASGUPTA, A AND WONG, M.W., Weyl transforms and the inverse of the sub-Laplacian on the Heisenberg group, in Pseudo-Differential Operators: Partial Differential Equations and Time-Frequency Analysis, Fields Institute Communications, 52, American Mathematical Society, 2007, 27–36.

3. DASGUPTA, A. AND WONG, M.W., Weyl transforms and the heat equation for the subLaplacian on the Heisenberg group, in New Developments in Pseudo-Differential Operators, Operator Theory: Advances and Applications, 189, Birkhauser, 2009, 33-42. ¨

4. G. B. Folland, E. M. Stein; Estimates for the ∂h complex and analysis on the Heisenberg group, Comm. Pure Appl. Math., 27 (1974), 492–522.

5. N. Garofalo, E. Lanconelli; Existence and non existence results for semilinear equations on the Heisenberg group, Indiana Univ. Math. Journ., 41 (1992), 71–97.

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