𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Parabolic equations with unbounded coefficients

✍ Scribed by D.G Aronson; P Besala


Publisher
Elsevier Science
Year
1967
Tongue
English
Weight
594 KB
Volume
3
Category
Article
ISSN
0022-0396

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Coefficients with unbounded derivatives
✍ Massimo Cicognani πŸ“‚ Article πŸ“… 2004 πŸ› John Wiley and Sons 🌐 English βš– 212 KB

## Abstract We are concerned with the problem of determining the sharp regularity of the coefficients with respect to the time variable __t__ in order to have a well‐posed Cauchy problem in __H__^∞^ or in Gevrey classes for linear or quasilinear hyperbolic operators of higher order. We use and mix

Existence of unbounded solutions to para
✍ 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·__);

Invariance Principles for Parabolic Equa
✍ Donald A. Dawson; Michael A. Kouritzin πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 535 KB

A general Hilbert-space-based stochastic averaging theory is brought forth herein for arbitrary-order parabolic equations with (possibly long range dependent) random coefficients. We use regularity conditions on t u = (t, x)= : which are slightly stronger than those required to prove pathwise exist