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Global Existence and Exponential Decay to Equilibrium for DLSS-Type Equations.
- Source :
- Journal of Dynamics & Differential Equations; Jun2021, Vol. 33 Issue 2, p1135-1151, 17p
- Publication Year :
- 2021
-
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. [ABSTRACT FROM AUTHOR]
- Subjects :
- DIFFERENTIAL equations
EQUATIONS
EQUILIBRIUM
GLOBAL analysis (Mathematics)
Subjects
Details
- Language :
- English
- ISSN :
- 10407294
- Volume :
- 33
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- Journal of Dynamics & Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 149960648
- Full Text :
- https://doi.org/10.1007/s10884-020-09852-5