Record Details
Elliptic-Parabolic Equations with Hysteresis Boundary Conditions
ScholarsArchive at Oregon State University
| Field | Value |
|---|---|
| Title | Elliptic-Parabolic Equations with Hysteresis Boundary Conditions |
| Names |
Hornung, Ulrich
(creator) Showalter, R. E. (creator) |
| Date Issued | 1995-07 (iso8601) |
| Note | This is the publisher’s final pdf. The published article is copyrighted by the Society for Industrial and Applied Mathematics and can be found at: http://epubs.siam.org/loi/sjmaah. |
| Abstract | A general porous-medium equation is uniquely solved subject to a pair of boundary conditions for the trace of the solution and a second function on the boundary. The use of maximal monotone graphs for the three nonlinearities permits not only the inclusion of the usual boundary conditions of Dirichlet, Neumann, or Robin type, including variational inequality constraints of Signorini type, but also dynamic boundary conditions and those that model hysteresis phenomena. It is shown that the dynamic is determined by a contraction semigroup in a product of L¹ spaces. Several examples and numerical results are described. |
| Genre | Article |
| Topic | existence |
| Identifier | Hornung, U., & Showalter, R. E. (1995). Elliptic-parabolic equations with hysteresis boundary conditions. SIAM Journal on Mathematical Analysis, 26(4), 775-790. doi:10.1137/S0036141093228290 |
