𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Conditions for well-posedness in the Hadamard sense in spaces of generalized functions

✍ Scribed by V. K. Ivanov


Publisher
SP MAIK Nauka/Interperiodica
Year
1988
Tongue
English
Weight
483 KB
Volume
28
Category
Article
ISSN
0037-4466

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Well-posedness of the Basset problem in
✍ Allaberen Ashyralyev 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 216 KB

In the present paper we consider the initial value problem for the fractional differential equation in a Banach space E with the strongly positive operator A. The well-posedness of this problem in spaces of smooth functions is established. In practice, the coercive stability estimates for the solut

Necessary conditions for the well-posedn
✍ Michael Dreher 📂 Article 📅 2003 🏛 Elsevier Science 🌐 French ⚖ 169 KB

We discuss evolution operators of Schrödinger type which have a non-self-adjoint lower order term and give a necessary condition for the Cauchy problem to such operators to be well-posed in Gevrey spaces. Under an additional assumption, this necessary condition is sharp.

Local well-posedness and ill-posedness f
✍ Xiaojing Xu 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 119 KB

## Abstract In this paper, we consider local well‐posedness and ill‐posedness questions for the fractal Burgers equation. First, we obtain the well‐posedness result in the critical Sobolev space. We also present an unconditional uniqueness result. Second, we show the ill‐posedness from the point of