Year: 2024
Type: article
Abstract: We consider a semiflow generated by the heat equation on the half-line with zero Neumann boundary condition. If the initial functions are from some weighted space X , then we prove that there exists an invariant mixing measure and X is the topological support of this measure. This result implies chaotic properties of the semiflow.
Author: Ryszard Rudnicki
Institutions: Institute of Mathematics, Polish Academy of Sciences
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $2,990
OpenAlex ID: W4403790260