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
  • 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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