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Hölder continuous solutions for integro-differential equations and maximal regularity |
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| Authors: | Valentin Keyantuo Carlos Lizama |
| Institution: | a University of Puerto Rico, Department of Mathematics, Faculty of Natural Sciences, PO Box 23355, PR 00931, USA b Universidad de Santiago de Chile, Departamento de Matemática, Facultad de Ciencias, Casilla 307-Correo 2, Santiago, Chile |
| 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. |
| Keywords: | primary 45N05 secondary 45D05 43A15 47D99 |
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