𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Continuous Dependence on the Nonlinearity of Viscosity Solutions of Parabolic Equations

✍ Scribed by B. Cockburn; G. Gripenberg; S.-O. Londen

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
108 KB
Volume
170
Category
Article
ISSN
0022-0396

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Continuous Dependence on the Nonlinearit
Continuous Dependence on the Nonlinearities of Solutions of Degenerate Parabolic Equations
✍ B Cockburn; G Gripenberg πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 176 KB

Explicit estimates for the continuous dependence in L ([0, T]; L 1 (R d )) of solutions of the equation l v={ } (8(v))+2(.(v)) (in (0, )\_R d with initial condition v(0, } )=h) with respect to the nonlinear continuously differential functions 8 and . are established.

Existence of unbounded solutions to para
Existence of unbounded solutions to parabolic equations with functional dependence
✍ Agnieszka Bychowska πŸ“‚ Article πŸ“… 2004 πŸ› John Wiley and Sons 🌐 English βš– 188 KB

## Abstract The Cauchy problem for nonlinear parabolic differential‐functional equations is considered. Under natural generalized Lipschitz‐type conditions with weights, the existence and uniqueness of unbounded solutions is obtained in three main cases: (i) the functional dependence __u__(__Β·__);

The Number of Peaks of Nonnegative Solut
The Number of Peaks of Nonnegative Solutions to Some Nonlinear Degenerate Parabolic Equations
✍ Shigeru Sakaguchi πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 260 KB

We consider the Cauchy problems for some nonlinear degenerate parabolic equations in ‫ޒ‬ N for nonzero bounded nonnegative initial data having compact support, and show that the set of peaks of the nonnegative solution consists of one point after a finite time.