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Uniqueness of renormalized solutions of degenerate elliptic-parabolic problems

Carrillo Menéndez, José and Wittbold, Petra (1999) Uniqueness of renormalized solutions of degenerate elliptic-parabolic problems. Journal of Differential Equations, 156 (1). pp. 93-121. ISSN 0022-0396

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Abstract

We consider a general class of degenerate elliptic-paraboic problems associated with the equation b(v)(t) = div a(v, Dv) + f. Using Kruzhkov's method of doubling variables both in space and time we prove uniqueness and a comparison principle in L-1 for renormalized solutions


Item Type:Article
Uncontrolled Keywords:Equations of mixed type; Degenerate elliptic equations; Degenerate parabolic equations
Subjects:Sciences > Mathematics > Differential equations
ID Code:15577
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Deposited On:11 Jun 2012 10:40
Last Modified:06 Feb 2014 10:27

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