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Holder continuous solutions for integro-differential equations and maximal regularity
Abstract
We characterize existence and uniqueness of solutions for a linear integro-differential equation in Hölder spaces. Our method is based on operator-valued Fourier multipliers. The solutions we consider may be unbounded. Concrete equations of the type we study arise in the modeling of heat conduction in materials with memory. © 2006 Elsevier Inc. All rights reserved.
Más información
| Título según WOS: | Holder continuous solutions for integro-differential equations and maximal regularity |
| Título según SCOPUS: | Hölder continuous solutions for integro-differential equations and maximal regularity |
| Título de la Revista: | JOURNAL OF DIFFERENTIAL EQUATIONS |
| Volumen: | 230 |
| Número: | 2 |
| Editorial: | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| Fecha de publicación: | 2006 |
| Página de inicio: | 634 |
| Página final: | 660 |
| Idioma: | English |
| URL: | http://linkinghub.elsevier.com/retrieve/pii/S0022039606002713 |
| DOI: |
10.1016/j.jde.2006.07.018 |
| Notas: | ISI, SCOPUS |