Nonexistence Results for the Hyperbolic-Type Equations on Graded Lie Groups

In this paper, we deal with systems of wave and pseudo-hyperbolic equations. Some semilinear equations for hypoelliptic operators on Rn, Heisenberg groups, stratified Lie groups and graded Lie groups are studied. In particular, we obtain nonexistence results for nonlinear hyperbolic and pseudo-hyperbolic equations and systems on graded Lie groups. Also, we show Kato-type exponents for systems of pseudo-hyperbolic equations for Rockland operators on graded Lie groups. © 2020, Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia.

Authors
Kassymov A.1, 2, 3 , Tokmagambetov N. 1, 2, 4 , Torebek B. 1, 2, 4
Journal
Bulletin of the Malaysian Mathematical Sciences Society
Publisher
Springer
Number of issue
6
Language
English
Pages
4223-4243
Status
Published
Link
External link
DOI
10.1007/s40840-020-00919-6
Volume
43
Year
2020
Organizations
  • 1 Al-Farabi Kazakh National University, 71 Al-Farabi Avenue, Almaty, 050040, Kazakhstan
  • 2 Department of Mathematics: Analysis, Logic and Discrete Mathematics, Ghent University, Krijgslaan 281, Building S8, Ghent, 9000, Belgium
  • 3 Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
  • 4 Peoples’ Friendship University of Russia, RUDN University, Moscow, Russian Federation
Keywords
Blow-up; Graded Lie groups; Kato-type exponent; Pseudo-hyperbolic equation; Rockland operator
Date of creation
02.11.2020
Date of change
02.11.2020
Short link
https://repository.rudn.ru/en/records/article/record/64330/
Share

Other records