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Global well-posedness of some high-order focusing semilinear evolution equations with exponential nonlinearity
Journal article   Open access  Peer reviewed

Global well-posedness of some high-order focusing semilinear evolution equations with exponential nonlinearity

Tarek Saanouni
Advances in nonlinear analysis, Vol.7(1), pp.67-84
01/02/2018
DOI: https://doi.org/10.1515/anona-2015-0108

Abstract

35B30 35Q55 blow-up ground state high-order heat type equation high-order Schrödinger type equation High-order wave type equation Moser–Trudinger inequality well-posedness
In even space dimensions, the initial value problems for some high-order focusing semilinear evolution equations with exponential nonlinearities are considered. Using the potential well method, global and nonglobal well-posedness in the energy space are obtained.
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https://doi.org/10.1515/anona-2015-0108View
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