Strong unique continuation for parabolic operators
Tom 154 / 2018
Colloquium Mathematicum 154 (2018), 1-14
MSC: Primary 35A02; Secondary 35K05.
DOI: 10.4064/cm7402-10-2017
Opublikowany online: 4 June 2018
Streszczenie
We prove a unique continuation theorem for functions vanishing to infinite order in the space-time variables at (0,0) and satisfying the inequality |\varDelta u+\partial _t u|\le V(x,t)|u|+W(x,t)|\nabla u| for some unbounded time-dependent V and W on {\mathbb R}, and in the radial case on \mathbb R^n.
