Domain decomposition methods for the diffusion equation with low-regularity solution

In this paper we prove the existence of a solution of a coupled system involving a two phase incom- pressible flow in the ground and the mechanical deformation of the porous

Tzvetkov, Random data Cauchy theory for supercritical wave equations II: A global existence result, Invent. Tao, Ill-posedness for nonlinear Schr¨ odinger and wave

We now prove the existence of a stationary solution to (1.1) when the overall fragmentation rate a may be bounded for large sizes but does not decay to zero.. As in Lemma 7.1, the

This paper is concerned with the existence and the regularity of global solutions to the linear wave equation associated the boundary conditions of two-point type.. We also

This work is organized as follows: the concept of a weak entropy solution to (1)-(2) is defined in Section 2, 2.1 through an entropy inequality in the whole domain, the

2 Key words; anyon, Haldane statistics, low temperature kinetic theory, quantum Boltzmann equation.... Here dω corresponds to the Lebesgue probability measure on

Robbiano, Local well-posedness and blow up in the energy space for a class of L2 critical dispersion generalized Benjamin-Ono equations, Ann. Henri Poincar´

We give some sufficient conditions in order that the uniqueness and comparison properties hold for the associated solutions; these conditions are expressed in terms of the moduli