2,297 research outputs found
Limit of p-Laplacian Obstacle problems
In this paper we study asymptotic behavior of solutions of obstacle problems
for Laplacians as For the one-dimensional case and for the
radial case, we give an explicit expression of the limit. In the n-dimensional
case, we provide sufficient conditions to assure the uniform convergence of
whole family of the solutions of obstacle problems either for data that
change sign in or for data (that do not change sign in )
possibly vanishing in a set of positive measure
Reinforcement problems for variational inequalities on fractal sets
The aim of this paper is to study reinforcement problems for variational inequalities of the obstacle type on fractal sets
Weighted Estimates on fractal domains
The aim of the paper is to establish estimates in weighted Sobolev
spaces for the solutions of the Dirichlet problems on snowflake domains, as well as uniform estimates for the solutions of the Dirichlet problems on pre-fractal approximating domains
Compartmental analysis of dynamic nuclear medicine data: models and identifiability
Compartmental models based on tracer mass balance are extensively used in
clinical and pre-clinical nuclear medicine in order to obtain quantitative
information on tracer metabolism in the biological tissue. This paper is the
first of a series of two that deal with the problem of tracer coefficient
estimation via compartmental modelling in an inverse problem framework.
Specifically, here we discuss the identifiability problem for a general
n-dimension compartmental system and provide uniqueness results in the case of
two-compartment and three-compartment compartmental models. The second paper
will utilize this framework in order to show how non-linear regularization
schemes can be applied to obtain numerical estimates of the tracer coefficients
in the case of nuclear medicine data corresponding to brain, liver and kidney
physiology
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