The leading edge of a free boundary interacting with a line of fast diusion

In this section we suppose that all the concerned indices are good, and reduce the study of our minimizer (u, W) near a point (say, the origin) to the study of minor variants of

Woess that when a finitely supported random walk on a free product of abelian groups is adapted to the free product structure, the Martin boundary coincides with the

We complete the description, initiated in [6], of a free boundary travelling at constant speed in a half plane, where the propagation is controlled by a line having a large diffusion

Then one can relate the stabiliser of X to the stabiliser of the attractive lamination (see Theorem 4.2), and later conclude using the fact proved in [2] that the stabilizer of

Lieberman, Boundary regularity for solutions of degenerate elliptic equations, Nonlinear Anal. Magenes, Problemi ai limiti

a problem the unknown angular velocity co for the appropriate coordinate system in which the solution is stationary can be determined by the equilibrium

(The family H~ represents all possible self adjoint extensions of a half line « Hamiltonian » Ho with the boundary point removed.. The interaction of the particle

Thus, Theorem 1.1 may be seen as a rigidity result on an fully nonlinear fluid jet model which determines the shape of the fluid (i.e., the domain ) and the stream lines of the