Display Abstract

Title Inverse and Direct Bifurcation Problems for Nonlinear Elliptic Equations

Name Tetsutaro Shibata
Country Japan
Email shibata@amath.hiroshima-u.ac.jp
Co-Author(s)
Submit Time 2014-02-13 22:45:12
Session
Special Session 18: Nonlinear elliptic and parabolic problems
Contents
We consider the nonlinear elliptic equations, which contain the unknown nonlinear term. In this talk, we study the inverse bifurcation problems from two points of view. Firstly, we determine the unknown nonlinear term from the asymptotic behavior of the bifurcation diagrams of the equation. Secondly, we establish the uniqueness of the unknown term from the shape of the bifurcation diagrams. For the direct problems, we discuss the global behavior of the bifurcation diagrams.