RIS ID
105169
Abstract
We consider smooth solutions to the biharmonic heat equation on ℝn x [0,T] for which the square of the Laplacian at time t is globally bounded from above by k0/t for some k0 in ℝ+, for all t ∈ [0,T]. We prove local, in space and time, estimates for such solutions. We explain how these estimates imply uniqueness of smooth solutions in this class.
Link to publisher version (URL)
Grant Number
ARC/DP120100097
Additional Grant Number
COinS
Publication Details
Simon, M. & Wheeler, G. (2016). Some local estimates and a uniqueness result for the entire biharmonic heat equation. Advances in Calculus of Variations, 9 (1), 77-99.