𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Well-posedness of fractional parabolic equations

✍ Scribed by Allaberen Ashyralyev


Book ID
120736061
Publisher
Springer International Publishing AG
Year
2013
Tongue
English
Weight
251 KB
Volume
2013
Category
Article
ISSN
1687-2762

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Mild well-posedness of equations with fr
✍ Shangquan Bu πŸ“‚ Article πŸ“… 2011 πŸ› John Wiley and Sons 🌐 English βš– 127 KB

## Abstract We study the (__W__^Ξ±, __p__^, __L__^__p__^)‐mild well‐posedness of the equation with fractional derivative __D__^Ξ±^__u__(__t__) = __Au__(__t__) + __f__(__t__), 0 ≀ __t__ ≀ 2Ο€, where __A__ is a closed operator in a Banach space __X__, Ξ± > 0, 1 ≀ __p__ < ∞ and __D__^Ξ±^ is the fractional

Well-posedness for non-isotropic degener
✍ Gui-Qiang Chen; BenoΔ±&amp;#x0302;t Perthame πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 175 KB

We develop a well-posedness theory for solutions in L 1 to the Cauchy problem of general degenerate parabolic-hyperbolic equations with non-isotropic nonlinearity. A new notion of entropy and kinetic solutions and a corresponding kinetic formulation are developed which extends the hyperbolic case. T