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Entropy solutions and renormalized entropy solutions for degenerate problems.

Carrillo Menéndez, José (2001) Entropy solutions and renormalized entropy solutions for degenerate problems. In Actas :XVII CEDYA, VII CMA : Salamanca 24-28 septiembre 2001 / XVII CEDYA Congreso de Ecuaciones Diferenciales y Aplicaciones, VII CMA Congreso de Matemática Aplicada. Universidad de Salamanca. Departamento de Matemática Aplicada , Madrid, pp. 335-341. ISBN 84-699-6144-6

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Abstract

This conference contribution gives a brief introduction to the resolution of some degenerate problems with the L1 theory in open bounded sets. The first part of the work
describes well known concepts related to entropy solutions of Kruzhkov and results ensuring existence for data and initial conditions in L1. In the second part, the author
introduces the concept of renormalized entropy solutions and gives an existence and uniqueness result for such solution when data and initial condition are in L1. The work
ends with a short history of renormalized solutions.


Item Type:Book Section
Additional Information:

Congreso de Matemática Aplicada (7º. 2001. Salamanca)

Uncontrolled Keywords:Existence and uniqueness result; Renormalized solutions
Subjects:Sciences > Mathematics > Differential equations
ID Code:15854
Deposited On:06 Jul 2012 11:09
Last Modified:18 Apr 2013 11:33

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