On the strong convergence to equilibrium of the Foiaş solutions of the transport equation

• Autorzy: Jan Malczak
• Języki publikacji: EN

Abstrakty

EN

We define the Foiaş solutions of the transport equation and we prove that the strong asymptotic stability of the Foiaş solutions is equivalent to the asymptotic stability of the solutions of the transport equation in L¹.

Słowa kluczowe

EN

transport equation; Foiaş solution; Markov operator; asymptotic stability

Kategorie tematyczne

• 45M10: Stability theory
• 45K05: Integro-partial differential equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1992
• Tom: 57
• Numer: 2
• Strony: 193-203

Daty

wydano

1992

otrzymano

1992-01-13

poprawiono

1992-02-18

Twórcy

autor

Jan Malczak

• Institute of Informatics, Jagiellonian University, Nawojki 11, 30-072 Kraków, Poland

Bibliografia

• [DuSc] N. Dunford and J. T. Schwartz, Linear Operators, Part I, Interscience Publ., New York 1968.
• [DłLa] T. Dłotko and A. Lasota, Statistical stability and the lower bound function technique, in: Semigroups, Theory and Applications, Vol. I, H. Brezis, M. Crandall and F. Kappel (eds.), Longman Scientific and Technical, 1987, 75-95.
• [Klac] J. Klaczak, Stability of a transport equation, Ann. Polon. Math. 49 (1988), 69-80.
• [LaMa] A. Lasota and M. C. Mackey, Probabilistic Properties of Deterministic Systems, Cambridge Univ. Press, 1985.