Applied Analysis
Seminar information archive ~02/06|Next seminar|Future seminars 02/07~
Date, time & place | Thursday 16:00 - 17:30 002Room #002 (Graduate School of Math. Sci. Bldg.) |
---|
2011/04/14
16:00-17:30 Room #128 (Graduate School of Math. Sci. Bldg.)
Marek FILA (Comenius University (Slovakia))
Homoclinic and heteroclinic orbits for a semilinear parabolic equation (ENGLISH)
Marek FILA (Comenius University (Slovakia))
Homoclinic and heteroclinic orbits for a semilinear parabolic equation (ENGLISH)
[ Abstract ]
We study the existence of connecting orbits for the Fujita equation
u_t=\\Delta u+u^p
with a critical or supercritical exponent $p$. For certain ranges of the exponent we prove the existence of heteroclinic connections from positive steady states to zero and the existence of a homoclinic orbit with respect to zero. This is a joint work with Eiji Yanagida.
We study the existence of connecting orbits for the Fujita equation
u_t=\\Delta u+u^p
with a critical or supercritical exponent $p$. For certain ranges of the exponent we prove the existence of heteroclinic connections from positive steady states to zero and the existence of a homoclinic orbit with respect to zero. This is a joint work with Eiji Yanagida.