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This paper deals with error estimates for space-time discretizations in the context of evolutionary variational inequalities of rate-independent type. After introducing a general abstract evolution problem, we address a fully discrete approximation and provide a priori error estimates. The application of the abstract theory to a semilinear case is detailed.(More)
A total of 65 patients with clinically significant diagnoses of remitting multiple sclerosis in the stage of remission were studied. Neurological status was investigated with assessment on the FS and EDSS scales, with neuropsychological testing, and MRI scans (1.5 T). The severity of brain atrophy (in terms of the parenchyma volume) and the total volume of(More)
The article presents the literature data and results of our own researchon the use of positron emission tomography (PET) with different radiotracersin multiple sclerosis (MS). Informationon the operating principles of PET and PET studies with different radiotracers are considered. The results of PET studiesin different typesof MS, including determinationof(More)
Objective. To study a role of parenchymal white matter lesions and lesions of the white matter underlying the cortical grey matter in cognitive impairment in patients with multiple sclerosis (MS). Material and methods. We examined 33 patients with clinically definite RRMS in clinical remission. Cognitive performance was assessed with neuropsychological and(More)
This note focuses on a viscoelastodynamic problem being subject to unilateral boundary conditions. Under appropriate regularity assumptions on the initial data, the problem can be reduced to the pseudodifferential linear complementarity problem through Fourier analysis. We prove that this problem possesses a solution, which, is obtained as the limit of a(More)
An aim of the study was to investigate a relationship between global and local brain atrophy with neurological impairment (motor dysfunction) in multiple sclerosis (MS) patients with different levels of disease severity. Fifty five patients with definite MS (Mc Donald's criteria), aged 18-60 years, disease duration 1-30 years, and 25 healthy age-matched(More)
This note deals with a damped wave equation and the evolution of a Kelvin–Voigt viscoelastic material, both problems being subject to unilateral boundary conditions. The functional properties of all the traces are precisely identified through Fourier analysis, which implies the existence of a solution satisfying almost everywhere the unilateral boundary(More)