Contributions to Books:
A. Jüngel, I. Violet:
"First-order entropies for the Derrida-Lebowitz-Speer-Spohn equation";
in: "ASC Report 10/2007",
issued by: Institute for Analysis and Scientific Computing;
Vienna University of Technology,
A logarithmic fourth-order parabolic equation in one space dimension
with periodic boundary conditions is analyzed. Using a new semidiscrete
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.
Entropy-entropy dissipation inequality, existence of weak solutions, regularity
Electronic version of the publication:
Created from the Publication Database of the Vienna University of Technology.