Abstract
AbstractWe study local and global properties of solutions of the boundary value problem for the Dirac wave operator. This includes explicit formulas, domain of dependence, range of influence, finite propagation speed and energy estimates. We also introduce the space of Dirac wave homogeneous polynomials and the corresponding Dirac-wave conjugate functions.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Computational Theory and Mathematics,Computational Mathematics
Reference12 articles.
1. Eelbode, D.: Solutions for the hyperbolic Dirac equation on R1, m. Complex Var. Theory Appl. 48(5), 377–395 (2003)
2. Eelbode, D., Sommen, F.: The inverse Radon transform and the fundamental solution of the hyperbolic Dirac equation. Math. Z. 247(4), 733–745 (2004)
3. Eelbode, D., Sommen, F.: The fundamental solution of the hyperbolic Dirac operator on R1, m: a new approach. Bull. Belg. Math. Soc. Simon Stevin 12(1), 23–37 (2005)
4. Rosen, A.: Geometric Multivector Analysis, from Grassmann to Dirac. Springer, Cham (2019)
5. Han, Q.: A Basic Course in Partial Differential Equations Graduate Studies in Mathematics, vol. 120. American Mathematical Society, Providence (2011)