Problems in the Theory of Semilinear Pde’s and Their Connection to Probability
نویسنده
چکیده
Starting with a result on the nonexistence of the solution bounded between zero and one to a KPP-type equation, we explore the connection between these type of semilinear equations and probabilistic objects. We describe some methods where PDE techniques help in investigating properties of branching diffusions and superdiffusions as well as probabilistic approaches where these processes are exploited to obtain results for the corresponding semilinear differential equations.
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تاریخ انتشار 2008