Functional analytic and other methods in partial differential equations. (English) Zbl 0625.47033
Partial differential equations and applied mathematics, Oakland Conf., Rochester/Mich. 1986, Pitman Res. Notes Math. 154, 95-108 (1987).
[For the entire collection see Zbl 0614.00009.]
This article is a brief survey of the author’s joint work in areas with four different joint authors. The problem areas (and co-authors) are as follows.
(1) D’Alembert’s formula, with applications to asymptotics of wave-type equations (J. T. Sandefur, jun.).
(2) A nonlinear singular parabolic problem via nonlinear semigroups (with C.-Y. Lin).
(3) The heat equation with a singular potential via the Feynman-Kac formula (with P. Baras).
(4) The Thomas-Fermi theory of electron densities (with G. R. Rieder).
This article is a brief survey of the author’s joint work in areas with four different joint authors. The problem areas (and co-authors) are as follows.
(1) D’Alembert’s formula, with applications to asymptotics of wave-type equations (J. T. Sandefur, jun.).
(2) A nonlinear singular parabolic problem via nonlinear semigroups (with C.-Y. Lin).
(3) The heat equation with a singular potential via the Feynman-Kac formula (with P. Baras).
(4) The Thomas-Fermi theory of electron densities (with G. R. Rieder).
MSC:
| 47D03 | Groups and semigroups of linear operators |
| 35L10 | Second-order hyperbolic equations |
| 35K55 | Nonlinear parabolic equations |
| 47F05 | General theory of partial differential operators |
| 34G20 | Nonlinear differential equations in abstract spaces |
| 47J05 | Equations involving nonlinear operators (general) |
