We prove optimal estimates for the decay of mass of solutions to the Cauchy problem for a wide class of quasilinear parabolic equations with damping terms. In the degenerate case, we also prove estimates for the finite speed of propagation. When the equation contains also a blow up term, we discuss existence and nonexistence of global solutions.
The Cauchy Problem for Degenerate Parabolic Equations with Source and Damping / Andreucci, Daniele; Anatoli, Tedeev; Maura, Ughi. - In: UKRAINIAN MATHEMATICAL BULLETIN. - ISSN 1812-3309. - STAMPA. - 1:(2004), pp. 1-23.
The Cauchy Problem for Degenerate Parabolic Equations with Source and Damping
ANDREUCCI, Daniele;
2004
Abstract
We prove optimal estimates for the decay of mass of solutions to the Cauchy problem for a wide class of quasilinear parabolic equations with damping terms. In the degenerate case, we also prove estimates for the finite speed of propagation. When the equation contains also a blow up term, we discuss existence and nonexistence of global solutions.File allegati a questo prodotto
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