Speaker：李万同教授, 兰州大学

Title：Entire solutions of nonlocal dispersal equations with monostable nonlinearity in space periodic habitats

Time：2016-12-2, 9:00-10:30am         

Venue: Room 316 of Environment Building, Renmin University

 

Abstract:

     This talk is concerned with the new types of entire solutions other than traveling wave solutions of nonlocal dispersal equations with monostable nonlinearity in space periodic habitats. We first establish the existence and properties of spatially periodic solutions connecting two steady states. Then new types of entire solutions are constructed by combining the rightward and leftward pulsating traveling fronts with different speeds and a spatially periodic solution. Finally, for a class of special heterogeneous reaction, we further establish the uniqueness of entire solutions and the continuous dependence of such an entire solution on parameters, such as wave speeds and the shifted variables. In other words, we build a five-dimensional manifold of solutions and the traveling wave solutions are on the boundary of the manifold.