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Revista Colombiana de Matemáticas
Print version ISSN 0034-7426
Rev.colomb.mat. vol.41 no.1 Bogotá Jan./June 2007
1University of Science and Technology of China, Department of Mathematics, Hefei 230026, China.
E-mail: yanjin@mail.ustc.edu.cn
2University of Science and Technology of China, Department of Mathematics, Hefei 230026, China.
E-mail: czx@mail.ustc.edu.cn
3University of Science and Technology of China, Department of Mathematics, Hefei 230026, China.
E-mail: mtao@mail.ustc.edu.cn
In this paper we use the Brouwer-Schauder's fixed point theorem to obtain the existence of local smooth viscosity solutions of the Cauchy problem for the parabolic system
Key words: Hyperbolic conservation laws, viscosity solution, Cauchy problem, a priori estimate.
2000 Mathematics Subject Classification. Primary: 35B40. Secondary: 35L65.
En este artículo usamos el teorema de punto fijo de Brouwer-Schauder para obtener la existencia de soluciones locales de viscosidad suave al problema de Cauchy para el sistema parabólico
Palabras clave: Leyes de conservación hiperbólica, soluciones de viscosidad, problema de Cauchy, estimación a priori.
Texto completo disponible en PDF
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