13 citations · 15 across the 2 of their papers we have counts for
2 papers
math.AP2014★ 13 cited
Global well-posedness for the massless cubic Dirac equation
Nikolaos Bournaveas, Timothy Candy
We show that the cubic Dirac equation with zero mass is globally well-posed for small data in the scale invariant space H^{\frac{n-1}{2}}(R^n) for n=2, 3. The proof proceeds by usi…
math.AP2012★ 2 cited
Bilinear Estimates and Applications to Global Well-posedness for the Dirac-Klein-Gordon Equation on R^{1+1}
Timothy Candy
We prove new bilinear estimates for the X^{s, b}_\pm(R^2) spaces which are optimal up to endpoints. These estimates are often used in the theory of nonlinear Dirac equations on R^{…