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Bounds for analytic solutions to integral equations in the complex domain

✍ Scribed by Ravi P. Agarwal; Donal O’Regan; Sandra Pinelas

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
268 KB
Volume
23
Category
Article
ISSN
0893-9659

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✦ Synopsis

We establish the existence of analytic solutions to integral equations in the complex domain when the nonlinearity satisfies either a growth condition or a monotonic type condition.

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The radius of analyticity of periodic analytic functions can be characterized by the decay of their Fourier coefficients. This observation has led to the use of socalled Gevrey norms as a simple way of estimating the time evolution of the spatial radius of analyticity of solutions to parabolic as we