This paper is concerned with the study of the stationary solutions of the equation where the
diffusion matrix A and the reaction term f are periodic in x. We prove existence and …

Pinsky [RG Pinsky, Transience, recurrence and local extinction properties of the support for
supercritical finite measure-valued diffusions, Ann. Probab. 24 (1) 237–267] proved that the …

The mean-field stochastic partial differential equation (SPDE) corresponding to a mean-field
super-Brownian motion (sBm) is obtained and studied. In this mean-field sBm, the branching …

Consider classical solutions u∈ C2 (Rn×(0,∞))∩ C (Rn×[0,∞)) to the parabolic reaction
diffusion equation whereis a nondegenerate elliptic operator, g∈ C (Rn) and the reaction …

Equations de réaction-diffusion non-linéaires et modélisation en écologie Page 1 *** Université
Pierre et Marie Curie, Paris 6 Ecole doctorale des Sciences Mathématiques de Paris Centre …

The purpose of this article is to give a rather thorough understanding of the compact support
property for measure-valued processes corresponding to semi-linear equations of the form …

Consider the KPP-type equation of the form $\Delta u+ f (u)= 0$, where $ f:[0, 1]\to\mathbb
R_ {+} $ is a concave function. We prove for arbitrary dimensions that there is no solution …

GLOBAL EXISTENCE/NONEXISTENCE OF SIGN-CHANGING SOLUTIONS TO $u_t=\Delta
u+|u|^p$ IN $R^{d}$ Page 1 Bull. London Math. Soc. 37 (2005) 417–426 Cо2005 London …

We consider a critical finite measure-valued super-Brownian motion X=(Xt, Pμ) in R d,
whose log-Laplace equation is associated with the semilinear equation (∂/∂ t) u= 1 2 Δ u …

We prove a result of stability for an inverse problem associated to a parabolic nonlinear
equation by using a Carleman inequality. To do this, existence, uniqueness, regularity …