Full entry |
PDF
(0.3 MB)
Feedback

systems of linear partial differential equations; constant coefficient; explicit solutions; several complex variables; elasticity

References:

[1] A. Rodionov: **An interesting case of variables separation**. Appl. Math. Lett. 13 (2000), 33–39. DOI 10.1016/S0893-9659(00)00030-6 | MR 1760260 | Zbl 0973.35049

[2] V. Karachik: **Polynomial solutions to systems of partial differential equations with constant coefficients**. Yokohama Math. J. 47 (2000), 121–142. MR 1763777 | Zbl 0971.35014

[3] P. S. Pedersen: **A basis for polynomial solutions to systems of linear constant coefficient PDEs**. Adv. Math. 117 (1996), 157–163. DOI 10.1006/aima.1996.0005 | MR 1367588

[4] E. S. Cheb-Terrab, K. Von Bülow: **A computational approach for the analytical solving of partial differential equations**. Comput. Phys. Commun. 90 (1995), 102–116. DOI 10.1016/0010-4655(95)00083-R

[5] A. I. Aleksandrovic: **Applying the theory of functions of two complex variables to the theory of elasticity**. Sov. Phys., Dokl. 22 (1977), 48–50. Zbl 0375.73018