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

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URI: http://hdl.handle.net/10902/21545
ISSN: 1040-7294
ISSN: 1572-9222
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Autoría
Bae, Hantaek; Granero Belinchón, RafaelAutoridad Unican
Fecha
2021-06
Derechos
© Springer. This is a post-peer-review, pre-copyedit version of an article published in Journal of Dynamics and Differential Equations. The final authenticated version is available online at: https://doi.org/10.1007/s10884-020-09852-5
Publicado en
Journal of Dynamics and Differential Equations, volume 33 (2021), pp. 1135-1151
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Springer
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Palabras clave
Derrida–Lebowitz–Speer–Spohn equation
Wiener space
Existence of solution
Asymptotic behavior
Analyticity
Resumen/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.
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