Continuous dependence of the entropy solution of general parabolic equation
We consider the general parabolic equation : in with
Continuous dependence on function parameters for superlinear Dirichlet problems
We discuss the existence of solutions for a certain generalization of the membrane equation and their continuous dependence on function parameters. We apply variational methods and consider the PDE as the Euler-Lagrange equation for a certain integral functional, which is not necessarily convex and coercive. As a consequence of the duality theory we obtain variational principles for our problem and some numerical results concerning approximation of solutions.
Continuous dependence on modeling for some well-posed perturbations of the backward heat equation.
Continuous dependence on obstacles in double global obstacle problems.
Continuous extendibility of solutions of the Neumann problem for the Laplace equation
A necessary and sufficient condition for the continuous extendibility of a solution of the Neumann problem for the Laplace equation is given.
Continuous extendibility of solutions of the third problem for the Laplace equation
A necessary and sufficient condition for the continuous extendibility of a solution of the third problem for the Laplace equation is given.
Continuous host-macroparasite models with application to aquaculture.
Continuous linear right inverses for convolution operators in spaces of real analytic functions
We determine the convolution operators on the real analytic functions in one variable which admit a continuous linear right inverse. The characterization is given by means of a slowly decreasing condition of Ehrenpreis type and a restriction of hyperbolic type on the location of zeros of the Fourier transform μ̂(z).
Continuous linear right inverses for partial differential operators of order 2 and fundamental solutions in half spaces.
Continuous selections of solution sets to second order evolution equations.
Continuous solutions of the problem of a string vibrating against an obstacle
Continuous spectrum of a fourth order nonhomogeneous elliptic equation with variable exponent.
Continuum limits of particles interacting via diffusion.
Continuum spectrum for the linearized extremal eigenvalue problem with boundary reactions
We study the semilinear problem with the boundary reaction where , , is a smooth bounded domain, is a smooth, strictly positive, convex, increasing function which is superlinear at , and is a parameter. It is known that there exists an extremal parameter such that a classical minimal solution exists for , and there is no solution for . Moreover, there is a unique weak solution corresponding to the parameter . In this paper, we continue to study the spectral properties of and show...
Contractivity of Locally One-Dimensional Splitting Methods.
Contribution à la résolution numérique des équations de Laplace et de la chaleur
Contribution of noncommutative geometry to index theory on singular manifolds
This survey of the work of the author with several collaborators presents the way groupoids appear and can be used in index theory. We define the general tools, and apply them to the case of manifolds with corners, ending with a topological index theorem.
Contributions to local and microlocal analysis, an overwiew
Contributo allo studio dei fenomeni di trasporto della carica minoritaria in regioni quasi neutre di semiconduttori fortemente e disuniformemente drogati. Riduzione del problema ad equazioni integrali
Transport phenomena of minority carriers in quasi neutral regions of heavily doped semiconductors are considered for the case of one-dimensional stationary flow and their study is reduced to a Fredholm integral equation of the second kind, the kernel and the known term of which are built from known functions of the doping arbitrarily distributed in space. The advantage of the method consists, among other things, in having all the coefficients of the differential equations and of the boundary conditions...
Controesempi sulla regolarità delle derivate delle soluzioni di equazioni ellittiche
We give some counterexamples concerning the regularity of the first (resp. second) derivatives of solutions of linear second order elliptic partial differential equations in divergence form (resp. in non-divergence form).