mathematical modelling, viscous flow, Czochralski method, single crystal growth, weak solution, operator equation, existence theorem, weighted So- bolev spaces, Rothe method..
We list in Table 1 examples of elliptic curves with minimal discriminant achieving growth to each possible torsion group over Q
pole placement, condition number, perturbation theory, Jordan form, explicit formulas, Cauchy matrix, Vandermonde matrix, stabilization, feedback gain, distance to
In particular, we consider a reverse Lee decomposition for the deformation gra- dient and we choose an appropriate state space in which one of the variables, characterizing the
Then it follows immediately from a suitable version of “Hensel’s Lemma” [cf., e.g., the argument of [4], Lemma 2.1] that S may be obtained, as the notation suggests, as the m A
In order to be able to apply the Cartan–K¨ ahler theorem to prove existence of solutions in the real-analytic category, one needs a stronger result than Proposition 2.3; one needs
In this paper we focus on the relation existing between a (singular) projective hypersurface and the 0-th local cohomology of its jacobian ring.. Most of the results we will present
This paper presents an investigation into the mechanics of this specific problem and develops an analytical approach that accounts for the effects of geometrical and material data on