355 research outputs found
Traveling wave solutions and spreading speeds for a scalar age-structured equation with nonlocal diffusion
In this paper, we study the existence of traveling wave solutions and
spreading speeds of a scalar age-structured epidemic model with nonlocal
diffusion. Our proofs use the comparison principles to construct suitable
sub/super-solutions and to show the regularity of traveling waves solutions
Existence of multi-dimensional pulsating fronts for KPP equations: a new formulation approach
This paper is concerned with the existence of pulsating travelling fronts for
a KPP reaction-diffusion equation posed in a multi-dimensional periodic medium.
We provide an alternative proof of the classic existence result. Our proof
relies largely on the construction of a wave profile under a moving frame,
which avoids many technical difficulties in dealing with degenerate elliptic
equations. Intriguingly, our analysis also yields that the profile of the front
propagating along each rational direction in is periodic in
time
Abstract Parabolic Equations with boundary white noise: an integrated semigroup approach
In this paper, we study the existence of solution for stochastic evolution
equations with almost sectorial operators and possibly a non dense domain. Such
problems cover several types of evolution equations, we are interested here in
particular in evolution equations with non-homogenous boundary conditions of
white noise type. We obtain the existence and uniqueness of mild solutions in
state space using the integrated semigroup theory. The results are applied to
stochastic parabolic equations with Neumann boundary conditions
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