We show the global existence of small solution to the perturbed Keller-Segel system of simplified version. Our system has a perturbed nonlinear term of worse sign, therefore the existence and uniqueness of solution is not really obvious. The local existence theorem is obtained by a variational observation for the elliptic part.
- Perturbed Keller-Segel system
- Variational method
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Applied Mathematics