On blow-up and asymptotic behavior of solutions to a nonlinear parabolic equation of second order with nonlinear boundary conditions
Boni, Théodore K.
Commentationes Mathematicae Universitatis Carolinae, Tome 40 (1999), p. 457-475 / Harvested from Czech Digital Mathematics Library
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We obtain some sufficient conditions under which solutions to a nonlinear parabolic equation of second order with nonlinear boundary conditions tend to zero or blow up in a finite time. We also give the asymptotic behavior of solutions which tend to zero as $t\rightarrow\infty$. Finally, we obtain the asymptotic behavior near the blow-up time of certain blow-up solutions and describe their blow-up set.

Publié le : 1999-01-01
Classification:  35B40,  35K55,  35K60 
@article{119102,
     author = {Th\'eodore K. Boni},
     title = {On blow-up and asymptotic behavior of solutions to a nonlinear parabolic equation of second order with nonlinear boundary conditions},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {40},
     year = {1999},
     pages = {457-475},
     zbl = {1011.35078},
     mrnumber = {1732489},
     language = {en},
     url = {http://dml.mathdoc.fr/item/119102}
}

Boni, Théodore K. On blow-up and asymptotic behavior of solutions to a nonlinear parabolic equation of second order with nonlinear boundary conditions. Commentationes Mathematicae Universitatis Carolinae, Tome 40 (1999) pp. 457-475. http://gdmltest.u-ga.fr/item/119102/

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