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oai:docta.ucm.es:20.500.14352/605612023-09-07T19:14:40Zcom_20.500.14352_14col_20.500.14352_21

Entropy solutions and renormalized entropy solutions for degenerate problems. Carrillo Menéndez, José 517.9 Existence and uniqueness result Renormalized solutions Ecuaciones diferenciales 1202.07 Ecuaciones en Diferencias Congreso de Matemática Aplicada (7º. 2001. Salamanca) 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. Depto. de Análisis Matemático y Matemática Aplicada Fac. de Ciencias Matemáticas TRUE pub 2023-06-20T21:03:25Z 2023-06-20T21:03:25Z 2001 book part https://hdl.handle.net/20.500.14352/60561 XXXX-XXXX metadata only access Universidad de Salamanca. Departamento de Matemática Aplicada