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We study the formation of singularities for the problem
{u(t) = [phi(u)](xx) + epsilon[psi(u)](txx) in Omega x (0, T)
phi(u) + epsilon[psi(u)](t) = 0 in partial derivative Omega x(0, T)
u = u(0) >= 0 in Omega x {0},
where epsilon and Tare positive constants, Omega a bounded interval, u(0) a… |
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Boundedness and convergence of the extended Lagrange interpolating operator are investigated in the
space L_u,t^p of Sobolev type. |
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We consider the problem of testing for additivity and joint effects in multivariate nonparametric regression when the data are modelled as
observations of an unknown response function observed on a d-dimensional lattice and contaminated with additive Gaussian noise.
We propose tests for additivity… |
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Here some issues are studied, related to the numerical solution of Richards' equation in a one dimensional spatial domain by a technique based on the Transversal Method of Lines (TMoL). The core idea of TMoL approach is to semi-discretize the time derivative of Richards' equation: afterward a… |
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Well-balanced schemes were introduced to numerically enforce consistency with longtime behavior of the underlying continuous PDE. When applied to linear kinetic models, like the Goldstein-Taylor system, this construction generates discretizations which are inconsistent with the hydrodynamic stiff… |
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Yano's extrapolation theorem dated back to 1951 establishes boundedness properties of a subadditive operator acting continuously in for close to and/or taking into as and/or with norms blowing up at speed and/or,. Here we give answers in terms of Zygmund, Lorentz-Zygmund and small Lebesgue spaces… |
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We introduce a degenerate nonlinear parabolic system that describes the chemical aggression of calcium carbonate stones under the attack of sulphur dioxide. For this system, we present some finite element and finite difference schemes to approximate its solutions. Numerical stability is given under… |
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We discuss the well-posedness of the "transient eddy current" magneto-quasi-static approximation of Maxwell's initial value problem with bounded and measurable conductivity, with sources, on a domain. We prove the existence and uniqueness of weak solutions, and we provide global Hölder estimates… |
