The Calderón Projector for an Elliptic Operator in Divergence Form.
The Calderón-Zygmund theorem and parabolic equations in -spaces
A Banach-space version of the Calderón-Zygmund theorem is presented and applied to obtaining apriori estimates for solutions of second-order parabolic equations in -spaces.
The Calderón-Zygmund theory for elliptic problems with measure data
We consider non-linear elliptic equations having a measure in the right-hand side, of the type and prove differentiability and integrability results for solutions. New estimates in Marcinkiewicz spaces are also given, and the impact of the measure datum density properties on the regularity of solutions is analyzed in order to build a suitable Calderón-Zygmund theory for the problem. All the regularity results presented in this paper are provided together with explicit local a priori estimates.
The Carleman formula for the Helmholtz equation on the plane.
The change in electric potential due to lightning
The change in the electric potential due to lightning is evaluated. The potential along the lightning channel is a constant which is the projection of the pre-flash potential along a piecewise harmonic eigenfunction which is constant along the lightning channel. The change in the potential outside the lightning channel is a harmonic function whose boundary conditions are expressed in terms of the pre-flash potential and the post-flash potential along the lightning channel. The expression for the...
The classical and the modified Neumann problems for the inhomogeneous pluriholomorphic system in polydiscs.
The classical field limit of non-relativistic bosons. II. Asymptotic expansions for general potentials
The coercitivity of elliptic sesquilinear forms on the Sobolev spaces [Abstract of thesis]
The combination of approximate solutions for accelerating the convergence
The complementing condition and its role in a bifurcation theory applicable to nonlinear elasticity.
The concentration-compactness principle in the calculus of variations. The locally compact case, part 1
The construction of principal spectral curves for Lane-Emden systems and applications
The Contraction Number of a Multigrid Method for Solving the Poisson Equation.
The Convergence of a Direct BEM for the Plane Mixed Boundary Value Problem of the Laplacian.
The Convergence of Even Degree Spline Collocation Solution for Potential Problems in Smooth Domains of the Plane.
The Convergence of Spline Collocation for Strongly Elliptic Equations on Curves.
The Convergence rate and Complexity of Precondotioned Iterative methods based on Approximate finite Element matrix Factorization
The current situation in the linear problem of Molodenskii.
Si studiano le condizioni per 1’esistenza, l’unicità e la stabilità della soluzione debole del problema lineare di Molodenskii in approssimazione quasi-sferica, generalizzando una tecnica perturbativa usata in precedenza per la soluzione di tipo classico. La procedura seguita richiede delle condizioni di maggior regolarità per il contorno, di quelle usate nell’analisi del problema «semplice». Il risultato ottenuto è l'esistenza e unicità di una soluzione con derivate seconde a quadrato integrabile,...
The degenerate Venttsel' problem for elliptic equations.
The density of solenoidal functions and the convergence of a dual finite element method
A proof is given of the following theorem: infinitely differentiable solenoidal vector - functions are dense in the space of functions, which are solenoidal in the distribution sense only. The theorem is utilized in proving the convergence of a dual finite element procedure for Dirichlet, Neumann and a mixed boundary value problem of a second order elliptic equation.