TY - ELEC
AU - Musso, Monica
PY - 2015
TI - Infinite time bubbling in the critical heat equation: the role of Green’s Function
LA - eng
M3 - Moving Image
AB - We construct global unbounded solutions for the critical nonlinear heat equation on a bounded smooth domain satisfying zero Dirichlet boundary conditions. Given an integer k, and given any set of k distinct points of the domain, which satisfy a certain condition involving Green’s function of the domain, we find a positive solution for the critical heat equation blowing up at exactly those k points as time goes to infinity.
This work is in collaboration with C. Cortazar and M. del Pino.
N2 - We construct global unbounded solutions for the critical nonlinear heat equation on a bounded smooth domain satisfying zero Dirichlet boundary conditions. Given an integer k, and given any set of k distinct points of the domain, which satisfy a certain condition involving Green’s function of the domain, we find a positive solution for the critical heat equation blowing up at exactly those k points as time goes to infinity.
This work is in collaboration with C. Cortazar and M. del Pino.
UR - https://open.library.ubc.ca/collections/48630/items/1.0228562
ER - End of Reference