Tagged particle limit for a Fleming-Viot type system.
Teoremi di confronto tra diverse nozioni di movimento secondo la curvatura media
In questa Nota presentiamo alcuni teoremi di confronto tra il movimento secondo la curvatura media ottenuto con il metodo delle minime barriere di De Giorgi e i movimenti definiti con i metodi di Evans-Spruck, Chen-Giga-Goto, Giga-Goto-Ishii-Sato.
The Cauchy problem and self-similar solutions for a nonlinear parabolic equation
The existence of solutions to the Cauchy problem for a nonlinear parabolic equation describing the gravitational interaction of particles is studied under minimal regularity assumptions on the initial conditions. Self-similar solutions are constructed for some homogeneous initial data.
The Cauchy problem for a strongly degenerate quasilinear equation
We prove existence and uniqueness of entropy solutions for the Cauchy problem for the quasilinear parabolic equation , where , and is a convex function of with linear growth as , satisfying other additional assumptions. In particular, this class includes a relativistic heat equation and a flux limited diffusion equation used in the theory of radiation hydrodynamics.
The Cauchy Problem of a Degenerate Parabolic Equation.
The compact support property for measure-valued processes
The Feynman-Kac formula for a system of parabolic equations
The heat equation and the shrinking.
The heat transform and its use in thermal identification problems for electronic circuits.
The Kolmogorov equation with time-measurable coefficients.
The Method of Lines for Nonlinear Parabolic Differential Equations with Mixed Derivatives.
The method of normal splines for linear implicit differential equations of second order.
The Neumann stability of high-order symmetric schemes for convection-diffusion problems.
The version of mixed finite element methods for parabolic problems
The pressure equation in the fast diffusion range.
The quasilinear parabolic kirchhoff equation
In this paper the existence of solution of a quasilinear generalized Kirchhoff equation with initial – boundary conditions of Dirichlet type will be studied using the Leray – Schauder principle.
The Riccati differential equation and a diffusion-type equation.
The speed of propagation for KPP type problems. I: Periodic framework
This paper is devoted to some nonlinear propagation phenomena in periodic and more general domains, for reaction-diffusion equations with Kolmogorov–Petrovsky–Piskunov (KPP) type nonlinearities. The case of periodic domains with periodic underlying excitable media is a follow-up of the article [7]. It is proved that the minimal speed of pulsating fronts is given by a variational formula involving linear eigenvalue problems. Some consequences concerning the influence of the geometry of the domain,...
Theorems on -dimensional Laplace transforms and their applications.
Time discretization of parabolic boundary integral equations.