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
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
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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.
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