Global Existence and Exponential Decay to Equilibrium for DLSS-Type Equations

被引：4
|
作者：
Bae, Hantaek [1 ]
Granero-Belinchon, Rafael [2 ]
机构：
[1] Ulsan Natl Inst Sci & Technol UNIST, Dept Math Sci, Ulsan, South Korea
[2] Univ Cantabria, Dept Matemat Estadist & Comp, Santander, Spain
来源：
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS | 2021年 / 33卷 / 02期
关键词：
Derrida-Lebowitz-Speer-Spohn equation; Wiener space; Existence of solution; Asymptotic behavior; Analyticity; 4TH-ORDER PARABOLIC EQUATION; SPEER-SPOHN EQUATION; LONG-TIME BEHAVIOR; MUSKAT PROBLEM;
D O I：
10.1007/s10884-020-09852-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we deal with two logarithmic fourth order differential equations: the extended one-dimensional DLSS equation and its multi-dimensional analog. We show the global existence of solution in critical spaces, its convergence to equilibrium and the gain of spatial analyticity for these two equations in a unified way.
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页码：1135 / 1151
页数：17
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