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 Departamento de Matemática Aplicada y Estadística. Universidad Politécnica de Cartagena.
- 2 School of Mathematics. The University of New South Wales. Sydney, Australia.
- Luis Ferragut (coord.)
- Anastasio Santos (coord.)
Éditorial: Universidad de Salamanca
ISBN: 8469961446
Année de publication: 2001
Pages: 659-660
Congreso: Congreso de Ecuaciones Diferenciales y Aplicaciones (17. 2001. Salamanca)
Type: Communication dans un congrès
Résumé
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.