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- Bae, Hantaek
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Global Existence and Exponential Decay to Equilibrium for DLSS-Type Equations
- Author(s)
- Bae, Hantaek, Granero-Belinchon, Rafael
- Issued Date
- 2021-06
- Citation
- JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, v.33, pp.1135 - 1151
- Abstract
- 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.
- Publisher
- SPRINGER
- ISSN
- 1040-7294
- Keyword (Author)
- Derrida-Lebowitz-Speer-Spohn equation, Wiener space, Existence of solution, Asymptotic behavior, Analyticity
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