• DOI:10.1007/s10884-020-09852-5
Corpus ID: 202583393

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

@article{Bae2019GlobalEA,
  title={Global Existence and Exponential Decay to Equilibrium for DLSS-Type Equations},
  author={H. Bae and R. Granero-Belinch{\'o}n},
  journal={Journal of Dynamics and Differential Equations},
  year={2019},
  pages={1-17}
}

H. Bae, R. Granero-Belinchón

Published 2019

Mathematics

Journal of Dynamics and Differential Equations

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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.