Porous Medium Type Equations with a Quadratic Gradient Term
Giachetti, Daniela ; Maroscia, Giulia
Bollettino dell'Unione Matematica Italiana, Tome 10-A (2007), p. 753-759 / Harvested from Biblioteca Digitale Italiana di Matematica
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We show an existence result for the Cauchy-Dirichlet problem in QT=Ω×(0,T) for parabolic equations with degenerate principal part (of porous medium type) with a lower order term having a quadratic growth with respect to the gradient. The right hand side of the equation f and the initial datum u0 are bounded nonnegative functions.

In questa nota illustreremo un risultato di esistenza per il problema di Cauchy-Dirichlet in QT=Ω×(0,T) per equazioni paraboliche con parte principale degenere (del tipo "mezzi porosi") aventi un termine di grado inferiore quadratico nel gradiente. Il termine noto f e il dato iniziale u0 sono funzioni limitate non negative.

Publié le : 2007-10-01
@article{BUMI_2007_8_10B_3_753_0,
     author = {Daniela Giachetti and Giulia Maroscia},
     title = {Porous Medium Type Equations with a Quadratic Gradient Term},
     journal = {Bollettino dell'Unione Matematica Italiana},
     volume = {10-A},
     year = {2007},
     pages = {753-759},
     zbl = {1177.35124},
     mrnumber = {2351544},
     language = {en},
     url = {http://dml.mathdoc.fr/item/BUMI_2007_8_10B_3_753_0}
}

Giachetti, Daniela; Maroscia, Giulia. Porous Medium Type Equations with a Quadratic Gradient Term. Bollettino dell'Unione Matematica Italiana, Tome 10-A (2007) pp. 753-759. http://gdmltest.u-ga.fr/item/BUMI_2007_8_10B_3_753_0/

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