Dirac mass dynamics in multidimensional nonlocal parabolic equations

Coville also obtained the existence of at least one travelling-wave solution in the monostable case.. Our first theorem extends some of the afore-mentioned results of Schumacher to

The proof of (1.19) not being our main concern notwithstanding, we decided to include a less standard proof of tightness inspired also by the theory of stochastic partial

Concentration in Lotka-Volterra parabolic or integral equations: a general convergence result.. Guy Barles, Sepideh Mirrahimi,

Four properties, namely coercivity, consistency, limit-conformity and compactness, are shown in this paper to be sufficient to prove the convergence of gradient schemes for linear

[3] G. A new stability result for viscosity solutions of nonlinear parabolic equa- tions with weak convergence in time. Global existence results and uniqueness for

E., Dead cores and instanteous compactification of the support of energy solutions of quasilinear parabolic equations of arbitrary order, Sbornik: Mathematics 190 :12 (1999),

Nonlocal Hamilton-Jacobi Equations, dislocation dynamics, nonlocal front propagation, level-set approach, L 1 -estimates, geometrical properties, lower-bound gradient

Key-Words: Integral parabolic equations, adaptive dynamics, asymptotic behavior, Dirac concen- trations, population dynamics..