On the existence and uniqueness of solutions for the semilinear heat equation and for a linear wawe equation in the space of Hölder continuous functions

Francisco Periago ^[1] ; Bernd Straub ^[2]
1. [1] Universidad Politécnica de Cartagena
  
  Universidad Politécnica de Cartagena
  
  Cartagena, España
2. [2] School of Mathematics. The University of New South Wales. Sydney, Australia.
Localización: XVII Congreso de Ecuaciones Diferenciales y Aplicaciones ; VII Congreso de Matemática Aplicada: Salamanca, 14-28 septiembre 2001 / coord. por Luis Ferragut Canals , Anastasio Pedro Santos Yanguas , 2001, ISBN 8469961446, págs. 659-660
Idioma: inglés
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Resumen
- In this work we study the semilinear heat equation and a linear wawe equation associated with an elliptic operator in the space of H ̈older continuous functions. Under suitable regularity conditions, existence and uniqueness of solutions is proved.