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

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

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.

Bibliographic Details
Main Author: Saanouni Tarek
Format: Article
Language:English
Published: De Gruyter 2018-02-01
Series:Advances in Nonlinear Analysis
Subjects:
high-order wave type equation
high-order schrödinger type equation
high-order heat type equation
ground state
moser–trudinger inequality
well-posedness
blow-up
35q55
35b30
Online Access:https://doi.org/10.1515/anona-2015-0108

Internet

https://doi.org/10.1515/anona-2015-0108

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