Integro-differential diffusion equations on graded Lie groups


Restrepo J.E. Ruzhansky M. Torebek B.T.
August 2025SAGE Publications Ltd

Asymptotic Analysis
2025#144Issue 11065 - 1080 pp.

We first study the existence, uniqueness and well-posedness of a general class of integro-differential diffusion equation on (Formula presented) (1
Graded Lie groups , partial integro-differential equations , Rockland operators , Sonine kernel , time decay rate

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Department of Mathematics: Analysis, Logic and Discrete Mathematics, Ghent University, Krijgslaan 281, Ghent, Belgium
Department of Mathematics, CINVESTAV, Mexico City, Mexico
School of Mathematical Sciences, Queen Mary University of London, United Kingdom
Institute of Mathematics and Mathematical Modeling, 125 Pushkin str, Almaty, 050010, Kazakhstan

Department of Mathematics: Analysis
Department of Mathematics
School of Mathematical Sciences
Institute of Mathematics and Mathematical Modeling

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