We consider a nonlinear parabolic equation with an exponential nonlinearity which is critical with respect to the growth of the nonlinearity and the regularity of the initial data. After showing the equivalence of the notions of weak and mild solutions, we derive decay estimates and the asymptotic behavior for small global-in-time solutions.
(2017). Asymptotic behavior and decay estimates of the solutions for a nonlinear parabolic equation with exponential nonlinearity [journal article - articolo]. In JOURNAL OF DIFFERENTIAL EQUATIONS. Retrieved from http://hdl.handle.net/10446/81007
Asymptotic behavior and decay estimates of the solutions for a nonlinear parabolic equation with exponential nonlinearity
Furioli, Giulia Maria Dalia;
2017-01-01
Abstract
We consider a nonlinear parabolic equation with an exponential nonlinearity which is critical with respect to the growth of the nonlinearity and the regularity of the initial data. After showing the equivalence of the notions of weak and mild solutions, we derive decay estimates and the asymptotic behavior for small global-in-time solutions.File allegato/i alla scheda:
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