Finite difference approximations for a class of nonlocal parabolic equations.
Finite difference discretization with variable mesh of the Schrodinger equation in a variable domain
Finite element analyis of exponentially fitted Lumped schemes for time-dependent convection-diffusion problems.
Front propagation for nonlinear diffusion equations on the hyperbolic space
We study the Cauchy problem in the hyperbolic space for the semilinear heat equation with forcing term, which is either of KPP type or of Allen-Cahn type. Propagation and extinction of solutions, asymptotical speed of propagation and asymptotical symmetry of solutions are addressed. With respect to the corresponding problem in the Euclidean space new phenomena arise, which depend on the properties of the diffusion process in . We also investigate a family of travelling wave solutions, named...
Fundamental decay mode and asymptotic behaviour of positive semigroups