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講演会
過去の記録 ～05/01｜次回の予定｜今後の予定 05/02～
2008年09月03日(水)
16:00-17:30 数理科学研究科棟(駒場) 002号室
Fred Weissler 氏 (University of Paris 13)
Finite time blowup of oscillating solutions to the nonlinear heat equation
Fred Weissler 氏 (University of Paris 13)
Finite time blowup of oscillating solutions to the nonlinear heat equation
[ 講演概要 ]
(This is joint work with T. Cazenave and F. Dickstein.)
We study finite time blowup properties of solutions of the nonlinear heat equation, both on $R^N$, and on a ball in $R^N$ with Dirichlet boundary conditions. We show, among other results, that the set of initial values producing global solutions is not always star-shaped around the 0 solution. This contrasts with the case where only non-negative solutions are considered.
(This is joint work with T. Cazenave and F. Dickstein.)
We study finite time blowup properties of solutions of the nonlinear heat equation, both on $R^N$, and on a ball in $R^N$ with Dirichlet boundary conditions. We show, among other results, that the set of initial values producing global solutions is not always star-shaped around the 0 solution. This contrasts with the case where only non-negative solutions are considered.
