2 papers
math.AP2026
Modulus of continuity for solutions of non-local heat equations
Ben Andrews, Sophie Chen
We extend the method of modulus of continuity for solutions of parabolic equations--as used, for instance, to prove the Fundamental Gap Conjecture--to solutions of non-local heat e…
math.AP2025
Counterexample to the second eigenfunction having one zero for a non-local Schrodinger operator
Ben Andrews, Sophie Chen
We demonstrate that the second eigenfunction of a perturbed fractional Laplace operator on a bounded interval can exhibit two sign changes, in stark contrast with the classical exp…