Hölder continuous solutions for integro-differential equations and maximal regularity
V Keyantuo, C Lizama - Journal of Differential Equations, 2006 - Elsevier
Journal of Differential Equations, 2006•Elsevier
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.
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.
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.
Elsevier
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