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One of several properties of harmonic functions is the Gauss theorem stating that if u is harmonic, then it has the mean value property with respect to the Lebesgue measure on all

We have formulated and discussed our main results for scalar equations where the solutions remain of a single sign. This restriction has enabled us to achieve sharp results on

We prove that for some form of the nonlinear term these simple modes are stable provided that their energy is large enough.. Here stable means orbitally stable as solutions of

This paper presents an investigation into the mechanics of this specific problem and develops an analytical approach that accounts for the effects of geometrical and material data on

7.1. Deconvolution in sequence spaces. Subsequently, we present some numerical results on the reconstruction of a function from convolution data. The example is taken from [38],

As in [6], we also used an iterative algorithm based on surrogate functionals for the minimization of the Tikhonov functional with the sparsity penalty, and proved the convergence

Due to Kondratiev [12], one of the appropriate functional spaces for the boundary value problems of the type (1.4) are the weighted Sobolev space V β l,2.. Such spaces can be defined

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