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.

引用

页码：1135 / 1151

页数：17

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