Existence, Regularity And Asymptotic Behavior Of Solutions For Extended Fisher-Kolmogorov Equation

Based on the semigroups of linear operators theory,the paper studies the existence ., uniqueness , regularity and asymptotic behavior of solutions to the initial boundary value problems for Extended Fisher-Kolmogorov equations:and the main results are as follows:1.Show that operator -A generator an analytic semigroups .2.The existence and uniqueness of saturated mild solutions and classical saturated solutions to the initial boundary value problems for Extended. Fisher-Kolmogorov equations by Banach fixed point theorem.3.By using analytic semigroups theory,we derive regularity results for the Extended Fisher-Kolmogorov equation.4. We obtain the existence of global classical solution and discuss asymptotic behavior of this solution.