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mathematical modelling, viscous flow, Czochralski method, single crystal growth, weak solution, operator equation, existence theorem, weighted So- bolev spaces, Rothe method..

As in the previous case, their definition was couched in terms of Gelfand patterns, and in the equivalent language of tableaux it reads as follows... Chen and Louck remark ([CL], p.

As far as local conditions at infinity are concerned, it is shown that at energy zero the Dirac equation without mass term has no non-trivial L 2 -solutions at infinity for

Further, form (4.13) will be basic for the study of the stability of the zero solution in the case when this problem can be solved by means of terms of the first and second powers

Kilbas; Conditions of the existence of a classical solution of a Cauchy type problem for the diffusion equation with the Riemann-Liouville partial derivative, Differential Equations,

The study of the eigenvalue problem when the nonlinear term is placed in the equation, that is when one considers a quasilinear problem of the form −∆ p u = λ|u| p−2 u with

Key words and phrases: Optimal lower bound, infimum spectrum Schr˝odinger operator, Sobolev inequality.. 2000 Mathematics

Greenberg and G.Stevens, p-adic L-functions and p-adic periods of modular forms, Invent.. Greenberg and G.Stevens, On the conjecture of Mazur, Tate and