First-order Entropies for the Derrida-lebowitz-speer-spohn Equation
نویسندگان
چکیده
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. AMS Classification. 35G25, 35B40, 35B65, 35Q40.
منابع مشابه
The Derrida-Lebowitz-Speer-Spohn Equation: Existence, NonUniqueness, and Decay Rates of the Solutions
The logarithmic fourth-order equation
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تاریخ انتشار 2007