Lower Bounds and Uniqueness Theorems for Solutions of Differential Equations in a Hilbert Space
โ Scribed by S. Agmon; L. Nirenberg
- Publisher
- John Wiley and Sons
- Year
- 1967
- Tongue
- English
- Weight
- 775 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0010-3640
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
In this paper we shall consider the existence, uniqueness, and asymptotic behavior of mild solutions to stochastic partial functional differential equations with finite delay r > 0: dX(t)=[ -AX(t)+f(t, X t )] dt+g(t, X t ) dW(t), where we assume that -A is a closed, densely defined linear operator a
The explicit closed-form solutions for a second-order differential equation with a constant self-adjoint positive definite operator coefficient A (the hyperbolic case) and for the abstract Euler-Poisson-Darboux equation in a Hilbert space are presented. On the basis of these representations, we prop