We consider non-negative solutions to the Cauchy problem for degenerate parabolic equations with a general non-linearity. For these solutions we will prove sup-estimates and quantitative Harnack inequalities. We also prove existence under optimal assumptions on the initial data.
A new approach to initial traces in nonlinear filtration / Andreucci, Daniele; E., Dibenedetto. - In: ANNALES DE L INSTITUT HENRI POINCARÉ. ANALYSE NON LINÉAIRE. - ISSN 0294-1449. - STAMPA. - 7:(1990), pp. 305-334.
A new approach to initial traces in nonlinear filtration
ANDREUCCI, Daniele;
1990
Abstract
We consider non-negative solutions to the Cauchy problem for degenerate parabolic equations with a general non-linearity. For these solutions we will prove sup-estimates and quantitative Harnack inequalities. We also prove existence under optimal assumptions on the initial data.File allegati a questo prodotto
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