An error estimate for viscous approximate solutions of degenerate parabolic equations
| dc.creator | Evje, Steinar | |
| dc.creator | Karlsen, Kenneth H. | |
| dc.date | 2003-02-04 | |
| dc.date.accessioned | 2026-07-07T04:54:54Z | |
| dc.date.available | 2026-07-07T04:54:54Z | |
| dc.description | Relying on recent advances in the theory of entropy solutions for nonlinear (strongly) degenerate parabolic equations, we present a direct proof of an L^1 error estimate for viscous approximate solutions of the initial value problem for \partial_t w+\mathrm{div} \bigl(V(x)f(w)\bigr)= ΔA(w) where V=V(x) is a vector field, f=f(u) is a scalar function, and A'(.) \geq 0. The viscous approximate solutions are weak solutions of the initial value problem for the uniformly parabolic equation \partial_t w^ε+\mathrm{div} \bigl(V(x) f(w^ε)\bigr) Δ\bigl(A(w^ε)+εw^ε\bigr), ε>0. The error estimate is of order \sqrtε. | |
| dc.description | arxiv version is already official | |
| dc.identifier | https://arxiv.org/abs/math/0302038 | |
| dc.identifier | http://arxiv.org/abs/math/0302038 | |
| dc.identifier | J. Nonlinear Math. Phys., volume 9, no. 3 (2002) 262-281 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66440 | |
| dc.subject | Analysis of PDEs | |
| dc.title | An error estimate for viscous approximate solutions of degenerate parabolic equations | |
| dc.type | text |