Zeitschriftenartikel:
A. Jüngel, I. Violet:
"First-order entropies for the Derrida-Lebowitz-Speer-Spohn equation";
Discrete and Continuous Dynamical Systems B,
8
(2007),
4;
S. 861
- 877.
Kurzfassung deutsch:
Siehe englisches Abstract.
Kurzfassung englisch:
A logarithmic fourth-order parabolic equation in one space dimension with
periodic boundary conditions is analyzed. Using a new semi-discrete approximation
in time, a first-order entropy--entropy dissipation inequality is proved.
Passing to the limit of vanishing time discretization parameter, some regularity
results are deduced. Moreover, it is shown that the solution is strictly
positive for large time if it does so initially.
Schlagworte:
Entropy--entropy dissipation inequality, existence of weak solutions, regularity of solutions
Erstellt aus der Publikationsdatenbank der Technischen Universität Wien.