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Applied Analysis
Seminar information archive ～04/26｜Next seminar｜Future seminars 04/27～
| Date, time & place | Thursday 16:00 - 17:30 002Room #002 (Graduate School of Math. Sci. Bldg.) |
|---|
2009/12/17
16:00-17:30 Room #002 (Graduate School of Math. Sci. Bldg.)
Hatem Zaag (CNRS / パリ北大学)
A Liouville theorem for a semilinear heat equation with no gradient structure
Hatem Zaag (CNRS / パリ北大学)
A Liouville theorem for a semilinear heat equation with no gradient structure
[ Abstract ]
We prove a Liouville Theorem for entire solutions of a vector
valued semilinear heat equation with no gradient structure. Classical tools such as the maximum principle or energy techniques break down and have to be replaced by a new approach. These tools involve a very good understanding of the dynamical system formulation of the equation in the selfsimilar setting. Using the Liouville Theorem, we derive uniform estimates for blow-up solutions of the same equation.
We prove a Liouville Theorem for entire solutions of a vector
valued semilinear heat equation with no gradient structure. Classical tools such as the maximum principle or energy techniques break down and have to be replaced by a new approach. These tools involve a very good understanding of the dynamical system formulation of the equation in the selfsimilar setting. Using the Liouville Theorem, we derive uniform estimates for blow-up solutions of the same equation.
