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.
articolo
2017
Furioli, Giulia Maria Dalia; Kawakami, Tatsuki; Ruf, Bernhard; Terraneo, Elide
(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
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10446/81007
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