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An extension of solutions to convolution equations with the loss of smoothness
Homogeneous convolution equations mean periodic functions zeros of entire functions
2012/6/19
In the present paper the smoothness loss of an extension of solutions to convolution equations is studied. Also examples for some kinds of convolvers are given.
$C^1$-smoothness of Nemytskii operators on Sobolev-type spaces of periodic functions
Nemytskii operators Sobolev-type spaces of periodic functions C1-smoothness Functional Analysis
2011/9/19
Abstract: We consider a class of Nemytskii superposition operators that covers the nonlinear part of traveling wave models from laser dynamics, population dynamics, and chemical kinetics. Our main res...
We study some properties of smooth sets in the sense defined by Hungerford ([2]). We prove a sharp form of Hungerford’s Theorem on the Hausdorff dimension of their boundaries on Euclidean spaces and s...