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Global existence and exponential decay to equilibrium for DLSS-type equations

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.

 Fuente: Journal of Dynamics and Differential Equations, 2021, 33, 1135-1151

 Editorial: Springer

 Fecha de publicación: 01/06/2021

 Nº de páginas: 17

 Tipo de publicación: Artículo de Revista

 DOI: 10.1007/s10884-020-09852-5

 ISSN: 1040-7294,1572-9222

 Url de la publicación: https://doi.org/10.1007/s10884-020-09852-5

Autoría